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kotykmax [81]
4 years ago
10

Assume the random variable X is normally distributed with meanmu equals 50μ=50and standard deviationsigma equals 7σ=7.Compute th

e probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.Upper P left parenthesis 34 less than Upper X less than 63 right parenthesisP(34

Mathematics
1 answer:
Minchanka [31]4 years ago
4 0

Answer: 0.9575465

Step-by-step explanation:

Let the random variable X is normally distributed with mean \mu=50 and standard deviation\sigma=7 .

Using the formula , z=\dfrac{x-\mu}{\sigma} , we have the z-value for x= 34

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

For x= 63

z=\dfrac{63-50}{7}\approx1.86

P-value : P(34<x<63)=P(-2.29<z<1.86)

=P(z

Hence, the required probability = 0.9575465

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