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The breaking strength X of a certain rivet used in a machine engine has a mean 4500 psi and standard deviation 500 psi. A random

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The breaking strength X of a certain rivet used in a machine engine has a mean 4500 psi and standard deviation 500 psi. A random sample of 64 rivets is taken. Consider the distribution of X, the sample mean breaking strength. (a) What is the probability that the sample mean falls between 4310 psi and 4690 psi? (b) What sample n would be necessary in order to have P(4430

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