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

Step-by-step 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 :-

$z=\dfrac{x-\mu}{\sigma}$

For x=34.

$z=\dfrac{34-50}{7}=-2.2857142\approx-2.29$

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

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

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