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statistics alive

Questions and Answers of Statistics Alive

21. Playing Poker Five cards are selected from a 52-card deck for a poker hand.a. How many simple events are in the sample space?b. A royal flush is a hand that contains the A, K, Q, J, and 10, all
20. Dinner at Gerard’s A French restaurant offers a special summer menu in which, for a fixed dinner cost, you can choose from one of two salads, one of two entrees, and one of two desserts. How
19. A Card Game Three students are playing a card game. They decide to choose the first person to play by each selecting a card from the 52-card deck and looking for the highest card in value and
18. Vacation Plans Your family vacation involves a cross-country air flight, a rental car, and a hotel stay in Vancouver. If you can choose from four major air carriers, five car rental agencies, and
17. Itineraries A businesswoman in Toronto is preparing an itinerary for a visit to six major cities.The distance traveled, and hence the cost of the trip, will depend on the order in which she plans
16. What to Wear? You own 4 pairs of jeans, 12 clean T-shirts, and 4 wearable pairs of sneakers. How many outfits (jeans, T-shirt, and sneakers) can you create?
15. The Urn Problem, again Three balls are selected from a box containing 10 balls. The order of selection is not important. How many simple events are in the sample space?
14. Choosing People, again In how many ways can you select two people from a group of 20 if the order of selection is not important?
13. Choosing People In how many ways can you select five people from a group of eight if the order of selection is important?
Use the mn Rule to find the number of items 4. Dice Three dice are tossed. How many simple events are in the sample space?
Use the mn Rule to find the number of items 3. Coins Four coins are tossed. How many simple events are in the sample space?
Use the mn Rule to find the number of items 2. There are three groups of distinctly different items, 4 in the first group, 7 in the second, and 3 in the third. If you select one item from each group,
Use the mn Rule to find the number of items 1. There are two groups of distinctly different items, 10 in the first group and 8 in the second. If you select one item from each group, how many
Five manufacturers produce a certain electronic device, whose quality varies from manufacturer to manufacturer. If you were to select three manufacturers at random, what is the chance that the
A printed circuit board may be purchased from five suppliers. In how many ways can three suppliers be chosen from the five?
A piece of equipment is composed of five parts that can be assembled in any order. A test is to be conducted to determine the time necessary for each order of assembly. If each order is to be tested
Three lottery tickets are drawn from a total of 50. If the tickets will be distributed to each of three employees in the order in which they are drawn, the order will be important. How many simple
A truck driver can take three routes from city A to city B, four from city B to city C, and three from city C to city D. When traveling from A to D, if the driver must drive from A to B to C to D,
How many simple events are in the sample space when three coins are tossed?
A candy dish contains one yellow and two red candies. Two candies are selected one at a time from the dish, and their colors are recorded. How many simple events are in the sample space S?
Two dice are tossed. How many simple events are in the sample space S?
39. Pepsi™ or Coke™? An experiment is conducted at a local supermarket, where shoppers are asked to taste two soft-drink samples—one Pepsi and one Coke—and state their preference. Suppose
38. Playing the Slots A slot machine has three slots;each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slots show the same three items. If each of the four
36. 100-Meter Run Four equally qualified runners, John, Bill, Ed, and Dave, run a 100-meter sprint, and the order of finish is recorded.a. If the runners are equally qualified, what is the
35. Tea Tasters A single person is hired to taste and rank each of three brands of tea, which are unmarked except for identifying symbols A, B, and C. If the taster has no ability to distinguish a
34. Jury Duty II Refer to Exercise 33. Suppose that there are six prospective jurors, four men and two women, who might be chosen for the jury. Two jurors are randomly selected from these six to fill
33. Jury Duty Three people are randomly selected to report for jury duty. The gender of each person is noted by the county clerk.a. Define the experiment.b. List the simple events in S.c. If each
32. Aspirin Refer to Exercise 31 and find the following probabilities:a. Either A or B or bothb. Both A and Bc. Either A or C or bothd. Both A and C
31. Aspirin Two cold tablets are unintentionally put in a box containing two aspirin tablets, that appear to be identical. One tablet is selected at random from the box and swallowed by the first
28. Four Coins A jar contains four coins: a nickel, a dime, a quarter, and a half-dollar. Three coins are randomly selected from the jar.a. What is the probability that the selection will contain the
26. Roulette Refer to Exercise 25. If you placed bets on the numbers 1 through 18, what is the probability that one of your numbers is the winner? list the simple events in the sample space, assign
25. Roulette A roulette wheel contains 38 pockets—the numbers 1 through 36, 0, and 00. The wheel is spun and the “winning” pocket is recorded. If observing any one pocket is just as likely as
24. Dice A fair die is tossed twice. What is the probability that the sum of the two dice is 11?list the simple events in the sample space, assign probabilities to the simple events, and find the
23. Dice A fair die is tossed twice. What is the probability that the first die is a 6 and the second die is greater than 2? list the simple events in the sample space, assign probabilities to the
22. Candies Refer to Exercise 21. What is the probability that you get either blue or orange and your friend gets either red or brown? list the simple events in the sample space, assign probabilities
21. Candies A bowl contains five candies—red, brown, yellow, blue, and orange. Draw two candies at random, one for you to eat, and one for a friend. What is the probability that you get the orange
20. Three Children Refer to Exercise 19. What is the probability that all three children are girls? list the simple events in the sample space, assign probabilities to the simple events, and find the
19. Three Children Three children are selected, and their gender recorded. Assume that males and females are equally likely. What is the probability that there are two boys and one girl in the group?
18. Cards A single card is randomly drawn from a deck of 52 cards. Find the probability that it is a number less than 5 (not including the ace). list the simple events in the sample space, assign
17. Cards A single card is randomly drawn from a deck of 52 cards. Find the probability that it is an ace. list the simple events in the sample space, assign probabilities to the simple events, and
16. A sample space contains 10 simple events:E1 , E2 , . . . , E10. If P(E1 )=3P(E2 )=.45 and the remaining simple events are equally likely, find the probabilities of these remaining simple
A sample space consists of five simple events with P(E1) = P(E2)=.15, P(E3)= .4, and P(E4)=2P(E5).15. Find the probability that event A does not occur.
A sample space consists of five simple events with P(E1) = P(E2)=.15, P(E3)= .4, and P(E4)=2P(E5).14. Find the probability of either A or B or both.
A sample space consists of five simple events with P(E1) = P(E2)=.15, P(E3)= .4, and P(E4)=2P(E5).11. Find the probabilities for simple events E4 and E5.
A sample space contains seven simple events: E1 , E2 , . . . ,E7 . Suppose that E1 , E2 , . . . ,E6 all have the same probability, but E7 is twice as likely as the others.Find the probabilities of
A single fair die is tossed. Assign probabilities to the simple events and calculate the probabilities 6. F: Observe both A and C
A single fair die is tossed. Assign probabilities to the simple events and calculate the probabilities 5. E: Observe either A or B or both
A single fair die is tossed. Assign probabilities to the simple events and calculate the probabilities 4. D: Observe a number less than 5
A single fair die is tossed. Assign probabilities to the simple events and calculate the probabilities 3. C: Observe a number greater than 2
A single fair die is tossed. Assign probabilities to the simple events and calculate the probabilities 2. B: Observe an even number
A single fair die is tossed. Assign probabilities to the simple events and calculate the probabilities 1. A: Observe a 2
A candy dish contains one yellow and two red candies. You close your eyes, choose two candies one at a time from the dish, and record their colors. What is the probability that both candies are red?
Refer to Example 4.4. The table of outcomes (Table 4.1) becomes a probability table when the proportions of blood type-Rh factor combinations for Caucasians in the United States replace the simple
The proportions of blood types A, B, AB, and O in the population of all Caucasians in the United States are reported as .40, .11, .04, and .45, respectively.1 If a single Caucasian is chosen randomly
Toss two fair coins and record the outcome. Find the probability of observing exactly one head in the two tosses.
29. The Urn Problem, continued Refer to Exercise 28.A ball is randomly selected from the bowl containing three red and two yellow balls. Its color is noted, and the ball is returned to the bowl
28. The Urn Problem A bowl contains three red and two yellow balls. Two balls are randomly selected and their colors recorded. Use a tree diagram to list the 20 simple events in the experiment,
Use a table of outcomes to display the simple events for the experiment 25. A researcher records the gender of a child as well as whether the child is home-schooled or not.
Use a table of outcomes to display the simple events for the experiment 27. A person’s gender and hair color (blonde, brown, black, red, and other) is recorded
Use a table of outcomes to display the simple events for the experiment 26. A card is randomly drawn from a deck of 52 cards.You record the suit (spade, heart, diamond, or club) and whether the card
Use a tree diagram to find the simple events for the experiments 24. A student was asked four “yes” or “no”questions—do you have an account on Facebook, Twitter, Instagram, and Snapchat.
Use a tree diagram to find the simple events for the experiments 23. A coin is tossed four times and the upper face(head or tail) is recorded for each toss.
Use a tree diagram to find the simple events for the experiments 22. A coin is tossed three times and the upper face(head or tail) is recorded for each toss.
Use a tree diagram to find the simple events for the experiments 21. A bowl contains five candies—red, brown, yellow, blue, and orange. Draw two candies at random, one for you to eat, and one for a
Define the simple events for the experiments 20. A single card is drawn from a deck of 52 playing cards.
Define the simple events for the experiments 19. Three children are randomly selected and their gender is recorded.
Define the simple events for the experiments 18. The grade level of a high school student is recorded.
Define the simple events for the experiments 17. A coin is tossed twice and the upper face (head or tail) is recorded for each toss.
Define the simple events for the experiments 16. A die is tossed twice and the number on the upper face is recorded for each toss.
Experiment II A sample space contains seven simple events: E1, E2,...., E7. Use the following three events- A, B, and C-and list the simple events A={E3,E4,E6} B={E1,E3,E5,,E7,} C={E2, E4}12. Not A
Experiment II A sample space contains seven simple events: E1, E2,...., E7. Use the following three events- A, B, and C-and list the simple events A={E3,E4,E6} B={E1,E3,E5,,E7,} C={E2, E4}11. A or C
Experiment II A sample space contains seven simple events: E1, E2,...., E7. Use the following three events- A, B, and C-and list the simple events A={E3,E4,E6} B={E1,E3,E5,,E7,} C={E2, E4}10. Both A
Experiment II A sample space contains seven simple events: E1, E2,...., E7. Use the following three events- A, B, and C-and list the simple events A={E3,E4,E6} B={E1,E3,E5,,E7,} C={E2, E4}9. B or C
Experiment II A sample space contains seven simple events: E1, E2,...., E7. Use the following three events- A, B, and C-and list the simple events A={E3,E4,E6} B={E1,E3,E5,,E7,} C={E2, E4}8. A or B
Experiment II A sample space contains seven simple events: E1, E2,...., E7. Use the following three events- A, B, and C-and list the simple events A={E3,E4,E6} B={E1,E3,E5,,E7,} C={E2, E4}7. Both A
A single die is tossed. List the simple events in the sample space, and then list the simple events 6. F: Observe both A and C
A single die is tossed. List the simple events in the sample space, and then list the simple events 5. E: Observe either A or B or both
A single die is tossed. List the simple events in the sample space, and then list the simple events 4. D: Observe a number less than 5
A single die is tossed. List the simple events in the sample space, and then list the simple events 3. C: Observe a number greater than 2
A single die is tossed. List the simple events in the sample space, and then list the simple events 2. B: Observe an even number
A single die is tossed. List the simple events in the sample space, and then list the simple events 1. A: Observe a 2
A medical technician records a person’s blood type and Rh factor. List the simple events in the experiment
Experiment: Record a person’s blood type. The four mutually exclusive possible outcomes are these simple events:E1: Blood type A E2: Blood type B E3: Blood type AB E4: Blood type O The sample space
Experiment: Toss a single coin and observe the result. These are the simple events:E: Observe a head (H) E: Observe a tail (T) The sample space is S = {E,, E2}, or, more simply, S = {H, T}|
Define the events A and B for the die-tossing experiment:A: Observe an odd number B: Observe a number less than 4 Since event A occurs if the upper face is 1, 3, or 5, it is a collection of three
Experiment: Toss a die and observe the number on the upper face. List the simple events in the experiment
Marketing: Sporting Goods A marketing consultant was hired to visit a random sample of five sporting goods stores across the state of California. Each store was part of a large franchise of sporting
Psychology: Creative Thinking Six sets of identical twins were randomly selected from a population of identical twins. One child was taken at random from each pair to form an experimental group.
Vending Machines: Coffee A machine in the student lounge dispenses coffee. The average cup of coffee is supposed to contain 7.0 ounces. Eight cups of coffee from this machine show the average content
Civil Service: College Degrees The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor’s degree or higher(The Wall Street Journal). A random sample of 120
Leisure: Streaming Shows A study was conducted to determine whether there is a difference in the mean amount of time adults spend streaming shows and that of children. A random sample of n1 5 55
Magazines: Subscriptions A study is made of residents in Phoenix and its suburbs concerning the proportion of residents who subscribe to Sporting News. A random sample of 88 urban residents showed
Matches: Number per Box The Nero Match Company sells matchboxes that are supposed to have an average of 40 matches per box, with s 5 9. A random sample of 94 Nero matchboxes shows the average number
Bus Lines: Schedules A comparison is made between two bus lines to determine if arrival times of their regular buses from Denver to Durango are off schedule by the same amount of time. For 51
Medical: Plasma Compress A hospital reported that the normal death rate for patients with extensive burns(more than 40% of skin area) has been significantly reduced by the use of new fluid plasma
Highways: Reflective Paint The highway department is testing two types of reflecting paint for concrete bridge end pillars. The two kinds of paint are alike in every respect except that one is orange
Toys: Electric Trains The Toylot Company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a normal load.A sample of nine motors was tested, and it
Student Life: Employment Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of
Vehicles: Mileage Based on information in Statistical Abstract of the United States (116th edition), the average annual miles driven per vehicle in the United States is 11.1 thousand miles, with s <
Critical Thinking All other conditions being equal, does a z or t value with larger magnitude have a larger or smaller corresponding P-value? Before you solve each of the following problems, first

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