Question

Is there online calculator that I can use to plug in the values? Thanks

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 = 104; σ = 19

P(x ≥ 120) =

Answer 1

Solution :

Given that,

mean = = 104

standard deviation = = 19

P ( x   120 )

= 1 - P (x   120 )

= 1 - P ( x -  / ) ( 120 - 104 / 19)

= 1 - P ( z 16 / 19 )

= 1 - P ( z 0.84 )

Using z table

= 1 - 0.7995

= 0.2005

Probability = 0.2005