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 = 4; σ = 6

P(1 ≤ x ≤ 13) =

Answer 1

Solution :

P(1 x 13) = P[(1 - 4)/ 6) (x - ) /   (13 - 4) / 6) ]

= P(-0.5 z 1.5)

= P(z 1.5) - P(z -0.5)

= 0.9332 - 0.3085

= 0.6247