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 = 28; σ = 3.6

P(x ≥ 30) =

Answer 1

Solution :

Given that ,

mean = = 28

standard deviation = = 3.6

P(x 30 ) = 1 - P(x   30 )

= 1 - P[(x - ) / (30-28) /3.6 ]

= 1 -  P(z 0.56)  

= 1- 0.7123 = 0. 2877

probability = 0.2877