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 = 4.4 P(x ≥ 30) =

Answer 1

Solution :

Given that,

mean = = 28

standard deviation = =4.4

P (x   30 )

= 1 - P (x 30 )

= 1 - P ( x -  / ) ( 30 - 28 /4.4)

= 1 - P ( z 2 / 4.4 )

= 1 - P ( z 0.45)

Using z table

= 1 - 0.6736

= 0.3264

Probability = 0.3264