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 = 24; σ = 3.9

P(x ≥ 30) =

Answer 1

Solution :

Given that,

mean = = 24

standard deviation = = 3.9

P (x   30 )

= 1 - P (x 30 )

= 1 - P ( x -  / ) ( 30 - 24 / 3.9 )

= 1 - P ( z 6 / 3.9 )

= 1 - P ( z   1.54)

Using z table

= 1 - 0.9382

= 0.0618

Probability = 0.0618