Find the probability that june maximum wind speed

Reference no: EM133411551

Case: In a certain region, the maximum wind speed X for the month of June, for the years it's been recorded, is (approximately) normally distributed, with the mean of 25 miles per hour (mph). The records show that X has had the values of at least 30 mph for exactly half of the years on record. Assume that the values of X are independent and identically distributed over the years, having the normal distribution (not just approximately).

- a) Find the variance of X.

- b) Find the probability that June maximum wind speed is more than 35 mph in a given year.

- c) Find the probability that June maximum wind speed was more than 35 mph in at least two out of the last ten years, if we know that it was more than 35mph in at least one out of the last ten years year.

Reference no: EM133411551

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