Consider the following to answer the question(s) below:
A courier service claims that only 5 % of all of its deliveries arrive late. Assuming deliveries are independent, a sample of 10 deliveries is randomly selected.
-What is the probability that exactly 2 of the sample deliveries arrive late?
A) 0.0746
B) 0.9884
C) 0.2347
D) 0.0439
E) 0.1125

Question

Quizplus · Accepted Answer

This is a binomial probability problem where n = 10 (number of trials), k = 2 (number of successes), and p = 0.05 (probability of success on a single trial). The formula for binomial probability is P(X = k) = (nCk) * p^k * (1-p)^(n-k). Plugging in the values: P(X = 2) = (10C2) * (0.05)^2 * (0.95)^8 = 0.0746.

Consider the Following to Answer the Question(s) Below