Question

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

μ = 51; σ = 13

P(40 ≤ x ≤ 47) =

Answer 1

Solution :

= P[(40 - 51 / 13) (x - ) / (47 - 51 / 13) ]

= P(-0.85 z -0.31)

= P(z -0.31) - P(z -0.85)

= 0.3783 - 0.1977

= 0.1806

P(40 x 47) = 0.1806