1)The average teacher's salary in a certain state is $37,764. Assume a normal distribution with a standard deviation of $5100. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator and round the answers at least four decimal places. (a) What is the probability that a randomly selected teacher's salary is greater than $42,000?
p (X > 42,000)=?
(b) For a sample of 75 teachers, what is the probability that the sample mean is greater than $39,500?
P (ꭓ > 39,500)=?