Question

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 = 20; σ = 3.6 P(x ≥ 30) =

Answer 1

Solution :

Given that ,

mean = = 20

standard deviation = = 3.6

P(x 30) = 1 - P(x  30 )

= 1 - P[(x - ) / (30 -20) /3.6 ]

= 1 -  P(z 1.78)  

= 1 - 0.9625 = 0.0375

Probability = 0.0375