22. I roll a four-sided die. The possible outcomes are 1,2, 3, or 4, depending o
ID: 3316475 • Letter: 2
Question
22. I roll a four-sided die. The possible outcomes are 1,2, 3, or 4, depending on the number of spots on the side of the die that is face down. Th called is collection of all possible outcomes is A) a census. B) the probability. C) the sample space. D) the distribution. 23. An assignment of probability must obey which of the following? The probability of any event must be a number between 0 and 1, inclusive. B) Th e sum of all the probabilities of all outcomes in the sample space must be exactly 1 C) It must obey the addition rule for disjoint events. D) All of the above. Use the following to answer question 24: If you draw an M&M; candy at random from a bag of the candies, the candy you draw will have one of six colors. The probability of drawing each color depends on the proportion of each color among all candies made. The following table gives the probability that a randomly chosen M&M; has each color. (These probabilities came from the M&M; Web site.) Color Brown Red Yellow Green Blue Tan Probability .13 13 16 24 20 24. The probability that I draw either a brown or a green candy is A).13. B).16. C) .29. D) .56 25. The density curve for a continuous random variable Xhas which of the following properties? A) The probability of any event is the area under the density curve and above the values of X that make up the event. B) The total area under the density curve for X must be exactly 1. C) The probability of any event of the form X constant is 0. D) All of the above. Use the following to answer questions 26-27: A psychologist studied the time X (in seconds) it took a subject to complete a pencil and paper maze while in the presence of a floral scent. Suppose X has a normal distribution with mean 70 seconds and standard deviation 15 seconds. 26. The value of P(XExplanation / Answer
Solution:-
22. option C) the sample space
=> The collection of all possible outcomes of an experiment is called a sample space.
23. option D) all the above.
24. option C) 0.29
=> 0.13+0.16 = 0.29
25. option D) all of the above.
26. option D) 0.2119
P(X < 58) = P(Z < (58 - 70)/15) = P(Z < -0.8) = 0.2119
28. option C) tends to get closer and closer to the population mean
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