Question

Assume the random variable X is normally distributed with mean mu equals 50μ=50 and standard deviation sigma equals 7σ=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. Upper P left parenthesis Upper X greater than 34 right parenthesisP(X>34)

Answer 1

Answer: 0.9890

Explanation:

Given : Mean :
`\mu=50`

Standard deviation :
`\sigma =7`

We assume the random variable X is normally distributed

The formula to calculate the z-score :-

`z=(x-\mu)/(\sigma)`

For x=34.

`z=(34-50)/(7)=-2.2857142\approx-2.29`

The p-value =
`P(z>-2.29)=1-P(z<-2.29)`

`=1-0.0110107=0.9889893\approx0.9890`

Hence,
`P(X>34)=0.9890`