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8.7. The length of a certain insect is a continuous random variable that is normally distributed with mean ,u = 10mm and standard deviation 0 = 2mm. (a) Compute the probability that a randomly selected such insect is greater than 12mm in length. (b) If 5 such insects were randomly selected, What is the probability that at most one of them is greater than 12mm in length? (c) A study requires such an insect exceeding 12mm in length. We randomly capture insects one at a time and measure them. What is the probability that you will have captured an insect exceeding 12mm in length by the second capture? ((1) What is the probability you will need to capture more than 4 (i.e., 5 or more) to nd the rst insect exceeding 12mm in length