Let x be a Bernoalli random variable with mean of 0.6. Find p (1 \leqx \leq 4 \) اختر احدى الدجابات None O 0.5 0.6 O 0.4
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- The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.8 minutes and a standard deviation of 2 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway. (a) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)(b) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)(c) What is the probability that for 35 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)Suppose that a company ships packages that are variable in weight, with an average weight of 15 lb and a standard deviation of 10. Assuming that the packages come from a large number of different customers so that it is reasonable to model their weights as independent random variables, find the probability that 100 packages will have a total weight exceeding 1700 lb.The mean weight of a single newborn baby at City Central Hospital is 111.2 ounces with a standard deviation of 16.05 ounces. Let us assume that the weight, X, of any baby born at City Central is independent of the weight of any other baby born at City Central. We will not consider multiple births. City General expects 1111 babies to be born in 2022. Suppose we look at the weight of each newborn baby at City General in 2022. Let M be the random variable representing the mean weight of all the 1111 newborn babies expected. Let T = the random variable representing the total weight of all the 1111 newborn babies expected. d) If TK is the total weight of the 1111 babies measured in pounds, then what is the standard deviation of TK? e) What is the approximate probability that T is greater than 125000 ounces? f) What is the standard deviation of M?