5. [-I6 Points] DETAILS jKESTAT11 6.E.117. MY NOTES ASK YOUR TEACHER | PRACTICE ANOTHER The 70year longterm record for weather shows that for New York State, the annual precipitation has a mean of 39.54 inches and a standard deviation of 4.4 inches. The annual precipitation amount has a normal distribution. (Give your answers correct to four decimal places.) (a) What is the probability that next year the total precipitation for New York State is more than 50.9 inches? (b) What is the probability that next year the total precipitation for New York State is between 42.5 and 47.5 inches? (c) What is the probability that next year the total precipitation for New York State is between 30.7 and 37.7 inches? (d) What is the probability that next year the total precipitation for New York State is more than 34.5 inches? (e) What is the probability that next year the total precipitation for New York State is less than 44.5 inches? (F) What is the probability that next year the total precipitation for New York State is less than 32.6 inches? 6. [11 Points] ETAILS JKESTAT11 6.E.121. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A machine is programmed to ll 1002. containers with a cleanser. However, the variability inherent in any machine causes the actual amounts of fill to vary. The distribution is normal with a standard deviation of 0.021 oz. What must the mean amount u be in order that only 8% of the containers receive less than 10 oz. (Give your answer correct to 3 decimal places.)