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Tju [1.3M]
3 years ago
10

Assume the random variable X is normally distributed with mean mu equals 50μ=50 and standard deviation sigma equals 7σ=7. Comput

e 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)

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

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

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