Find the probability of the distribution using the mean x of a random sample of size 65
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Question:
Find the probability of the distribution using the mean x of a random sample of size 65 drawn from a population with a mean of 112 and a standard deviation of 40. Show your work and find the following:
- Find the mean and standard deviation of X.
- Find the probability that X assumes a value between 110 and 114.
- Find the probability that X assumes a value greater than 113.
You should be calculating z separately for 110 and 114. Explain!
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