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Mean And Standard Deviation of Randon Variable

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The random variable x with probability distribution given below
X = 2 3 4 7 10
P(x) = 0.1 0.2 0.4 0.1 0.2

(a) Determine the expected value of x
(b) Determine the standard deviation of x
(c) Given a sample size of 65, with sample mean 720 and sample standard deviation 85, we perform the following hypothesis test
Ho: u = 750
H1: u < 750

What is the conclusion of the test at the a= 0.05 level? Explain your answer.

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Solution Summary

The solution gives detailed steps on calculating the mean (or expected value) and standard deviation of the random variable if a table of probability distribution is given. Also, a hypothesis testing based on the same data set is performed and conclusion is given.

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