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 = 102; σ = 17 P(x ≥ 120) =

Answer 1

Solution :

Given that ,

mean = = 102

standard deviation = = 17

P(x 120 ) = 1 - P(x   120 )

= 1 - P((x - ) / (102 - 120) /17 )

= 1 -  P(z -1.06 )  

= 1 - 0.1446   

= 0.8554

Probability = 0.8554