The breaking strength X of a certain rivet used in a machine engine has a mean 5000 psi and standard deviation 400 psi A random sample of 36 rivets is taken Consider the distribution of X, the sample mean breaking strength (a) What is the probability that the sample mean falls between 4800 psi and ...

The breaking strength X of a certain rivet used in a machine engine has a mean 5000

Question:

The breaking strength X of a certain rivet used in a machine engine has a mean 5000 psi and standard deviation 400 psi. A random sample of 36 rivets is taken. Consider the of X, the sample mean breaking strength.
(a) What is the probability that the sample mean falls between 4800 psi and 5200 psi?
(b) What sample n would be necessary in order to have P (4900 < X < 5100) = 0.99?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...