Suppose X=N(10, 1.924)Pr(7.6 less than X less than 9.3)

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 35E: Find three positive geometric means between 2 and 8
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Suppose X=N(10, 1.924)
Pr(7.6 less than X less than 9.3)

Expert Solution
Step 1

In this question we have X as random variable which follows normal distribution with mean = 10 and variance = 1.924.We have to find the probability that is given on whiteboard 

Statistics homework question answer, Step 1, Image 1
Step 2

We have used the method of calculating the probability for normal distribution by changing it to standard normal. The complete procedure is given on white board. To get values of Z we had use the “Probabilities for Standard Normal distribution“ P (Z < 0.50) is 0.69146 and P(Z<1.73) is 0.0418.

Statistics homework question answer, Step 2, Image 1
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