Question

Borachio eats at the same fast food restaurant every day. Suppose the time X between the moment Borachio enters the restaurant and the moment he is served his food is normally distributed with mean 4. 2 minutes and standard deviation 1. 3 minutes. Find the probability that average time until he is served in eight randomly selected visits to the restaurant will be at least 5 minutes

Answer 1

0.2692... or 26.92%

Explanation:

1. X is normally distributed. X ~ N(4.2, 1.3)

2. Use an online calculator or stats enabled calculator to compute

P(X>5) = 0.2692