b. The standard normal distribution is symmetric around median and the total are
ID: 3073470 • Letter: B
Question
b. The standard normal distribution is symmetric around median and the total area for the distribution is equal to one. 25. The nndom variable Z has a standard normal distribution. What is the probability that Z is negative? a. The probability of a negative Z value is 0.5. b. The probability of a negative Z value is 0. 26. The random variable Z has a standard normal distribution. What is the probability that Z is zero? a. The probability that Z is zero equals 1/2. Since Z is a probability distribution. b. The probability that Z is zero equals zero. Since Z is a continuous probability distribution, probabilities are only defined for intervals, not for exact values. 27. What probability distribution might you use to describe the number of mutations per cell in a cell culture? Since mutations are independent random events randomly distributed over time and among cells, use a Poisson distribution. Since mutations are independent random events randomly distributed over time and among cells, use a Binomia distribution. a. b. 28. Blood tests reveal that George's prostate specific antigen (PSA) level is at the 65th percentile for a man of his age. What is the probability that another man of the same age, selected at random, would have a PSA level higher than George? a The 65% of men his age have a higher PSA, which is a probability of 0.65. b, The 35% of men his age have a higher PSA, which is a probability of 0.35. 29. Juan has a height equal to the 90th percentile for adult males and Peter has a height equal to the median. What proportion of adult males are shorter than Juan but taller than Peter? a. Forty percent b. Ninety percent 30. If, over the course of a year, fires caused by lightning strikes in a national park are infrequent random events, then what probability distribution would you use to describe the number of fires per year caused by lightning? The infrequent occurrence of lighting starting a fire would be a "rare event" randomly distributed over time and space, so a Poisson distribution would be appropriate. The infrequent occurrence of lighting starting a fire would be a "rare event" randomly distributed over time and space, so a Continuous probability distribution would be appropriate. a. b. 31. Several dozen bird nests were examined where each nest has three eggs. If each egg has an 85% chance of hatching, then what probability distribution can be used to describe the number of eggs that hatch? a. The probability distribution to be used is the Binomial distribution. b. The probability distribution to be used is the Poisson distribution 32. Several hundred weevil pupae were collected and weighed. A histogram of the weights looks like a bell-shape. What probability distribution might be used to describe the weight of these pupac?Explanation / Answer
Answers:
25. Option a.
26. Option b.
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