Please show your work! Thank you! :))

9.5. (b) (i). incomes in a certain town are approximately normally distributed with a mean of $36,000 and a standard deviation of $7,000. A random sample of 75 households is taken. What is the probability that the sample mean is greater than $37,000? [ Hint: find the mean and standard deviation of the sample mean first and use the z-score formula to find your probability] 5.9m. (ii). The contents of bottles of beer are normally distributed with a mean of 300 and a standard deviation of Sml. if a six (6) pack is randomly selected, what is the probability that its total content exceeds 1776 ml? [Hint First. find the sample mean ijhen find the mean and standard deviation of the sample mean and use the z-score formula to find your probability] lm