of 6 Question 1 of 20 1.0 Points What is the probability of drawing two queens in a row from a standard deck of cards without replacement? A.0.0385 B.0.0045 C.0.0059 D.0.0015 Reset Selection Question 2 of 20 1.0 Points is the: A.rule of opposites B.addition rule C.rule of complements D.commutative rule Reset Selection Question 3 of 20 1.0 Points If two events are mutually exclusive, what is the probability that both occur at the same time? A.1.00 B.0.50 C.Cannot be determined from the information given. D.0.00 Reset Selection Question 4 of 20 1.0 Points The probability of an event and the probability of its complement always sum to: A.1.0 B.any positive value C.0 D.any value between 0 and 1 Reset Selection Question 5 of 20 1.0 Points Which of the following statements are true? A.Probabilities can be any positive value. B.Probabilities must be nonnegative. C.Probabilities can either be positive or negative. D.Probabilities must be negative. Reset Selection Part 2 of 6 Question 6 of 20 1.0 Points Which of following statements are true regarding the probability distribution of a random variable X? A.The probabilities must be nonnegative B.The probabilities must sum to 1 C.The random variable must be continuous D.Both (a) and (b) Reset Selection 1.0 Points Question 7 of 20 The following data were obtained from a survey of college students. The variable X represents the number of nonassigned books read during the past six months. x P (X=x) 0 1 2 3 4 5 0.20 0.25 0.20 0.15 0.10 0.10 Find P(1 < X < 5) A.0.70 B.0.20 C.0.45 D.0.30 Reset Selection 1.0 Points Question 8 of 20 The following data were obtained from a survey of college students. The variable X represents the number of nonassigned books read during the past six months. x P (X=x) Find P( X A.0.15 0 1 2 3 4 5 0.20 0.25 0.20 0.15 0.10 0.10 3) B.0.85 C.0.80 D.0.20 Reset Selection Question 9 of 20 1.0 Points Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. What is the probability that between 25 and 30 batteries (inclusive) will last at least 8 hours? A.0.9169 B.0.1186 C.0.0839 D.0.7792 Reset Selection 1.0 Points Question 10 of 20 A drug is reported to benefit 40% of the patients who take it. If 6 patients take the drug, what is the probability that 4 or more patients will benefit? A.0.179 B.0.138 C.0.667 D.0.862 Reset Selection Part 3 of 6 1.0 Points Question 11 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. If 1.5% of the bolts made by an automotive factory are defective, what is the probability that in a shipment of 200 bolts, there are 6 defective bolts? Place your answer, rounded to four decimal places, in the blank. 0.0069 1.0 Points Question 12 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The following data were obtained from a survey of college students. The variable X represents the number of nonassigned books read during the past six months. x P (X=x) 0 1 2 3 4 5 6 0.55 0.15 0.10 0.10 0.04 0.03 0.03 What is the expected value of X? Place your answer, rounded to two decimal places in the blank. For example, 4.56 would be a legitimate entry. 1.0 Points Question 13 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. The following data were obtained from a survey of college students. The variable X represents the number of nonassigned books read during the past six months. x P (X=x) 0 1 2 3 4 5 6 0.55 0.15 0.10 0.10 0.04 0.03 0.03 Find P(X > 0). Place your answer, rounded to two decimal places in the blank. For example, 0.56 would be a legitimate entry. Question 14 of 20 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Suppose that the probability that a new medication will cause a bad side effect is 0.03. If this medication is given to 150 people, what is the probability that exactly three of them will experience a bad side effect? Place your answer, rounded to 4 decimal places, in the blank. Part 4 of 6 Question 15 of 20 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. An urn contains 12 balls identical in every respect except their color. There are 3 red balls, 7 green balls, and 2 blue balls. You draw two balls from the urn, but replace the first ball before drawing the second. Find the probability that the first ball drawn is red and the second ball drawn is green. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.4567 would be a legitimate entry. Question 16 of 20 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. According to an Internet posting, 80% of adults enjoy drinking beer. If a group of 3 adults is selected at random, find the probability that none of them enjoy drinking beer. Place your answer, rounded to three decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.123 would be a legitimate entry. 1.0 Points Question 17 of 20 Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. Mothers Against Drunk Driving (MADD) is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Five hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. The numbers are shown below: Number of Vehicles Involved Did alcohol play a role? 1 2 3 Yes 60 110 30 200 No 40 215 45 300 100 325 75 Place your answer, rounded to 2 decimal places, in the blank. For example. 0.23 is a legitimate entry. Given that 3 vehicles were involved, what proportion of accidents involved alcohol? Question 18 of 20 1.0 Points Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form (a + bi) where "a" and "b" need to have explicitly stated values. For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not. An ice cream vendor sells three flavors: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, while 30% are strawberry, with the rest vanilla flavored. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a randomly selected sale, define the following events: = chocolate chosen = strawberry chosen = vanilla chosen = ice cream on a cone ice cream in a cup Find the probability that the ice cream was strawberry flavor, given that it was sold on a cone. Place your answer, rounded to 4 decimal places, in the blank. For exampe, 0.3456 would be a legitimate entry. Part 5 of 6 Question 19 of 20 1.0 Points Suppose A and B are mutually exclusive events where P(A) = 0.2 and P(B) = 0.5, then P(A or B) = 0.70. True False Reset Selection Part 6 of 6 Question 20 of 20 1.0 Points A binomial experiment has exactly two outcomes, so the probability of any binomial experiment is always 0.5 or 50%. True False Reset Selection