Please answer these questions and SHOW YOUR WORK. Will leave good review, thank you ?

Problem # 7 1 ts}. The mean per capita daily water consumption in a certain village in a country is about 83 liters per person and the standard deviation is about 11.9 liters per person. Random sample of size 50 are drawn 'om this population and the mean of each sample is determined. (Important to draw the bell curve. Points will be deducted for failure to do so) A) Find the mean and standard deviation of the sampling distribution of sample means b) What is the probability that the mean per capita daily water consumption for a given sample is more than 85 liters per person. c) What is the probability that the mean per capita daily water consumption for a given sample is between 80 and 82 liters per person. Problem g 8 1 Es]. Fi'y- two percent of adults say chocolate chip is their favorite cookie. You randomly select 40 adults and ask each if chocolate chip is his or her favorite cookie. (Important to draw the bell curve. Points will be deducted for failure to do so) a) Find the probability that at most 17 people say chocolate chip is their favorite cookie. b) At least 15 people say chocolate chip is their favorite cookie. 10 c) Exactly 16 people say chocolate chip is their favorite cookie