At the end of the Halloween Festival the organizers estimated that a family of participants spent on average $50.00 with a standard deviation of $5.00

a) what's the probability that mean amount is spent will be between $55 and $60?

b) participants whose spending was in the 97% will receive a 20% off coupon on the tickets if the following event. What is the minimum amount that you should have spent in order to receive such a discount?

c) what is the maximum amount that you can spend and still be in the lowest 10%?

d) how likely ( what is the probability) is it to have spent an amount below $65?

e) how likely ( what is the probability) is it that a family spent more than $58?

f) how likely ( what is the probability) is it to have spent less than $30?

g) if 36 participants ( 36= size of the sample) are selected randomly, what's the likelihood that their mean amount spent will be within $2 of the population mean? (Mean+/-2)