0 Question 1 v The number of M&Ms of each color that were found in a case with 1835 M&Ms is given in the table below. Find the probability that a randomly selected M&M will be in the category "orange". Give your answer rounded to three decimal places. 0 Question 2 v Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in the time period of January 1 to March 31. A sample of 12660 pairs of lenses were inspected. The table below gives the defect and the number of pairs of lenses with that defect. Defect type Freq scratch 58 wrong shape 1405 spots and bubbles wrong axis 1868 wrong height 1 wrong PD 1343 Find the probability that a randomly selected a pair of defective lenses will be in the category "wrong shape". Give your answer rounded to three decimal places. 0 Question 3 v In Australia in 1995, of the 2907 indigenous people in prison 17 of them died. In that same year, of the 14501 non-indigenous people in prison 42 of them died (\"Aboriginal deaths in," 2013). a. Find the probability that an indigenous person in prison dies. Enter your answer as a fraction. Enter your answer rounded to 3 decimal places b. Find the probability that a non-indigenous person in prison dies. Enter your answer as a fraction. Enter your answer rounded to 3 decimal places 0 Question 4 v A random sample of 305 car buyers was asked about the reason that they chose the car that they did. The results are given in the table below: Reason for Choosing a Car Freq I reliability E m- Find the probability that a randomly selected car buyer will be in the category "looks". Give your answer rounded to three decimal places. I Are the events "doing the homework for a class" and "passing the class" independent events? Why or why not? O No because the occurrence (or nonoccurrence) of one of them does not affect the probability of the occurrence of the other event. 0 No because they can both happen at the same time. 0 Yes because the occurrence (or nonoccurrence) of one of them affects the probability of the occurrence of the other event. 0 Yes because they can both happen at the same time. 0 Yes because the occurrence (or nonoccurrence) of one of them does not affect the probability of the occurrence of the other event. 0 Yes because they both cannot happen at the same time. O No because the occurrence (or nonoccurrence) of one of them affects the probability of the occurrence of the other event. 0 No because they both cannot happen at the same time. 0 Question 2 v You flip a coin 8 times. What is the probability that all 8 of them are heads? Leave your answer as a fraction. :l 0 Question 4 v You pick 3 cards from a deck replacing the card each time before picking the next card. What is the probability that all 3 cards are Kings? Leave your answer as a fraction. 0 Question 6 v You pick 3 cards from a deck without replacing the card each time before picking the next card. What is the probability that all 3 cards are Jacks? Leave your answer as a fraction. :] 0 Question 7 v The number of people who survived the Titanic based on class and gender is in the following table. Suppose a person is picked at random from the survivors. Total .EI_EI "-3 121 - - 3rd 137 Total 449 a) What is the probability that a survivor was female? Round final answer to 3 decimal places. b) What is the probability that a survivor was in the 3rd class? Round final answer to 3 decimal places. c) What is the probability that a survivor was a female given that the person was in 3rd class? Round final answer to 3 decimal places. d) What is the probability that a survivor was a female and in the 3rd class? Round final answer to 3 decimal places. Total 307 142 449 a) What is the probability that a survivor was female? Round final answer to 3 decimal places. b) What is the probability that a survivor was in the 3rd class? Round final answer to 3 decimal places. c) What is the probability that a survivor was a female given that the person was in 3rd class? Round final answer to 3 decimal places. d) What is the probability that a survivor was a female and in the 3rd class? Round final answer to 3 decimal places. e) What is the probability that a survivor was a female or in the 3rd class? Round final answer to 3 decimal places. f) Are the events "survivor is a female" and "survivor is in 3rd class" mutually exclusive? Why or why not? Select an answer I g) Are the events "survivor is a female" and "survivor is in 3rd class" independent? Select an answer 5 I" An experiment is pulling a ball from an urn that contains 4 blue balls and 6 red balls. 3) Find the probability of getting a blue ball. Leave your answer as a fraction. :] b) Find the probability of getting a red ball. Leave your answer as a fraction. :] 0 Question 9 v An experiment is picking a card from a fair deck. a] What is the probability of picking a Jack? Round answer to 3 decimal places. :1 b) What is the probability of picking a Jack given that the card is a face card? Round answer to 3 decimal places. :] c) What is the probability of picking a face card given that the card is a Jack? Round answer to 3 decimal places. d) Are the events Jack and face card independent events? Why or why not? Round answer to 3 decimal places. Select an answer v e) What is the probability of picking a spade? Round answer to 3 decimal places. :1 f) What is the probability of picking a spade given that the card is a five? Round answer to 3 decimal places. :1 g) What is the probability of picking a five given that the card is a spade? Round answer to 3 decimal places. e) What is the probability of picking a spade? Round answer to 3 decimal places. :] f) What is the probability of picking a spade given that the card is a five? Round answer to 3 decimal places. :] g) What is the probability of picking a five given that the card is a spade? Round answer to 3 decimal places. :1 h) Are the events spade and five independent events? Why or why not? Select an answer v 0 Question 1 v The table summarizes results from 981 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Pedestrian Intoxicated? Intoxicated? Yes Yes 236 If one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated but the pedestrian was. Please enter a decimal to 4 places. Probability = 0 Question 2 v A sample of students, faculty, and administration from a large university were asked if they were in favor of increasing parking fees to build a new parking lot. In Favor m 439 583 575 Total 1103 637 a. What is the probability that a person selected at random is both a student and against increasing the fees? b. What is the probability that a person selected at random is both an admin and in favor of increasing the fees? c. What is the probability that a person selected at random is both a student and a faculty member? i 0 Question 1 v A phenomenon is observed many, many times under identical conditions. The proportion of times a particular event A occurs is recorded. This proportion represents: O the distribution of the event A O the correlation of the event A O the variance of the event A O the probability of the event A Question 2 A > Can the value 8 be a probability? O yes O no0 Question 3 v In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither (events cannot be both disjoint and independent). a) You and a randomly selected student from your class both earn A's in this course. 0 Independent 0 Mutually Exclusive 0 Neither b) You and your class partner both earn A's in this course. 0 Neither O Mutually Exclusive 0 Independent c) If two events can occur at the same time, they must be independent. 0 True 0 False 0 Question 5 v Q 2 4- 2H. 2-23-1- 4. g .143. .2- a. 9 i, 1-? $1,1- V ~1- 2 1- 1- .' .3. 4- '29.. 9 o o . 0'0 ; o o v; o v A v 3v 0 '3', , v v 45.. a a a; a a o '3. 0 E9 0 . o '99.. o o o :: o o 9 9'0 As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: (Round to 4 decimal places where possible) a) A 10 of Hearts? C] b) A Spade or Heart? [3 c) A number smaller than 8 (counting the ace as a 1)? C] 0 Question 8 v The table summarizes results from pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Pedestrian Intoxicated? Intoxicated? Yes Yes 57 249 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated. (Round your answer to 4 decimal places.) Probability = 0 Question 9 v 12) = (Round to 4 decimal places) 0 Question 10 v E and F are mutually exclusive events. P(E) = 0.3; P(F) = 0.2. Find P(E | F)0 Question 1 v The number of M&Ms of each color that were found in a case with M&Ms is given in the table below: color _ red 464 yellow 117 a) Find the probability that a randomly selected M&M will be in the category "green" or "orange". Give your answer as a fraction. Give your answer rounded to three decimal places. b) Find the probability that a randomly selected M&M is not in the category "green". Given your answer as a fraction. Give your answer rounded to three decimal places. A V 0 Question 2 v A fair coin is flipped three times. a) State the sample space. List outcomes separated by commas. Use notation like H'I'l' to mean the first toss was heads, the second toss was tails and the third toss was tails. m w b) Find the probability of getting all heads. Leave your answer as a fraction. c) Find the probability of getting at least 2 tails. Leave your answer as a fraction. d) Find the probability of getting an even number of tails. Leave your answer as a fraction. e) Find the probability of getting all heads or all tails. Leave your answer as a fraction. f) Find the probability of getting exactly two heads or exactly two tails. Leave your answer as a fraction. g) Find the probability of not getting at least 2 tails. Leave your answer as a fraction. 0 Question 3 v An experiment is rolling a fair die and then flipping a coin. a) State the sample space. List outcomes separated by commas. Use notation like 1H to mean you rolled a 1 on the die and flipped heads on the coin. } H\"! b) Find the probability of getting a head. Leave your answer as a fraction. c) Find the probability of getting a 3. Leave your answer as a fraction. d) Find the probability of getting a 3 or a head. Leave your answer as a fraction. e) Find the probability of getting a 4 and a tail. Leave your answer as a fraction. 0 Question 4 v You roll two fair dice. a) If you were to list the sample space for this problem, how many equally likely outcomes would there be? b) Find the probability of getting a sum of 9 on both dice. Leave your answer as a fraction. c) Find the probability of getting a 5 on the first die. Leave your answer as a fraction. d) Find the probability of getting a sum of 9 on both dice AND a 5 on the first die. Leave your answer as a fraction. e) Find the probability of getting a sum of 9 on both dice OR a 5 on the first die. Leave your answer as a fraction. f) Find the probability of getting doubles. Leave your answer as a fraction. g) Find the probability of getting both dice to be odd numbers. Leave your answer as a fraction. h) Find the probability of getting doubles AND both dice to be odd numbers. Leave your answer as a fraction. i) Find the probability of getting doubles 0R both dice to be odd numbers. Leave your answer as a fraction