Fifty percent of the people that get mail-order catalogs order something. Find the probability that exactly two of 10 people getting these catalogs will order something.
A)0.044
B)0.200
C)0.001
D)11.250

Question

Quizplus · Accepted Answer

This is a binomial probability problem where n = 10 (number of trials), k = 2 (number of successes), and p = 0.5 (probability of success on a single trial). The formula for binomial probability is P(X = k) = (nCk) * p^k * (1-p)^(n-k), where nCk is the combination of n items taken k at a time. Plugging in the values: P(X = 2) = (10C2) * (0.5)^2 * (0.5)^(10-2) = 45 * 0.25 * 0.00390625 = 0.044.

Fifty Percent of the People That Get Mail-Order Catalogs Order