Mathematics, 19.07.2021 18:00, dogskid1937

The 70-year long-term record for weather shows that for New York State, the annual precipitation has a normal distribution with a mean of 39.57 inches and a standard deviation of 4.45 inches. What is the probability that next year the total precipitation for New York State is between 41.2 and 48.5 inches (a) What is the probability that next year the total precipitation for New York State is more than 51 inches?
(b) What is the probability that next year the total precipitation for New York State is between 42.8 and 48.9 inches?
(c) What is the probability that next year the total precipitation for New York State is between 29.8 and 37.5 inches?
(d) What is the probability that next year the total precipitation for New York State is more than 34.2 inches?
(e) What is the probability that next year the total precipitation for New York State is less than 45.9 inches?
(f) What is the probability that next year the total precipitation for New York State is less than 33 inches?

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The 70-year long-term record for weather shows that for New York State, the annual precipitation has...