Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list she doubts the authenticity of the list.She randomly selects five names from the list for validation.If 40% of the names on the list are non-authentic, and x is the number of non-authentic names in her sample, P(x

Question

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list she doubts the authenticity of the list.She randomly selects five names from the list for validation.If 40% of the names on the list are non-authentic, and x is the number of non-authentic names in her sample, P(x<2)is ______________.
A)0.3370
B)0.9853
C)0.9785
D)0.2333
E)0.5000

Quizplus · Accepted Answer

The probability that fewer than 2 out of 5 randomly selected names are non-authentic can be calculated using the binomial probability formula. With a 40% chance of a name being non-authentic, P(x<2) is the sum of probabilities for x=0 and x=1, which equals 0.3370.

Dorothy Little Purchased a Mailing List of 2,000 Names and Addresses