1. The average monthly rent for students in a college town is normally distributed with a mean of $650 and a standard deviation of $80. (a) A random sample of 100 students who rent apartments was taken. What is the probability of getting a sample mean monthly rent that exceeds $660? (b) What is the probability that the total revenue from renting 10 randomly selected apartments falls between $6,000 and $7,000? (c) Let's assume the population mean was unknown, but the standard deviation was known to be $80. A sample of 100 rentals was selected in order to estimate the mean monthly rent paid by the whole student population. What is the probability that the sample mean rent is greater than the actual mean rent by more than $10? How about more than $20?

2. You recently graduated from the BCIT Financial Management program. You just started working as an accountant in a large CA firm. Your boss claims that the average starting salary for an accountant who just graduated is $30,000/year so he offers to pay you $30,000. The standard deviation is $3,000/year and salaries are approximately normally distributed. (a) What percentage of accountants earn at least $32,000/year just after graduating? (b) If you randomly select an accountant, what is the probability he earns at least $32,000? (c) You randomly select 40 accountants who recently graduated and ask them how much they earn. What is the probability of obtaining an average salary of at least $32,000? (d) If you obtain a sample mean of $32,000 or higher from your random sample of 40 accountants do you believe your boss's claim that the average starting salary is $30,000?

Could you please solve it with explanation?