Question

Suppose that the amount of time that it takes a clerk to process an employment application is uniformly distributed between 5 minutes and 12 minutes. What is probability that it takes exactly 7 minutes to process a randomly selected application? 1/7 2/7 0 1/8 Cannot be Determined

Answer 1

Let X follows uniform distribution over [5, 12] The pdf of X is, 1 f(x)= = ;5<x<12 The probability that it takes exactly 7 times to process a randomly selected application is P(X = 7) = 0 In continuous distribution, the particular point of probability must be zero Hence, the correct answer is option (4) If the population data is uniformly distributed, then the sampling distribution of sample means will be a normal distributed regardless of the sample size Hence, the correct answer is option (3)