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 = 24; σ = 4.4 P(x ≥ 30) =

Answer 1

Solution :

Given that ,

mean = = 24

standard deviation = = 4.4

P(x 30) = 1 - P(x   30)

= 1 - P[(x - ) / (30 - 24) / 4.4]

= 1 -  P(z 1.36)  

= 1 - 0.9131

= 0.0869

P(x 30) = 0.0869