Question

Assume that the height of FIU students is a normal random variable with mean 5.65 feet and standard deviation 0.3 feet.

(a) Calculate the probability that a randomly selected student has height between 5.45 and 5.85 feet.

(b) What is the proportion of students above 6 feet?

Answer 1

Given that, mean (μ) = 5.65 feet and

standard deviation = 0.3 feet

a) We want to find, P(5.45 < X < 5.85)

Therefore, required probability is 0.4972

b) We want to find, P(X > 6)

Therefore, required probability is 0.1210