Statistics and Probabilty

Question

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.)

𝜇 = 6; 𝜎 = 2

P(5 ≤ x ≤ 9) =

Answer 1

P(5 ≤ x ≤ 9) = P[(5-6)/2 ≤ (x-6)/2 ≤ (9-6)/2] = P(-1/2 < z < 3/2) = Φ(3/2)- Φ(-1/2) = 6.24655