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 = 100; σ = 17

P(x ≥ 120) =

Answer 1

Solution :

Given that ,

mean = = 100

standard deviation = = 17

P(x 120) = 1 - P(x   120)

= 1 - P[(x - ) / (120 - 100) / 17]

= 1 -  P(z 1.1765 )   

= 1 - 0.8803

= 0.1197

P(x 120) = 0.1197