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Mathematics, 14.02.2020 01:02 phy75

Changing the oil in your car. Suppose the amount of time needed to change the oil in a car is uniformly distributed between 14 minutes and 30 minutes, with a mean of 22 minutes and a standard deviation of 4.6 minutes. Let X represent the amount of time, in minutes, needed to complete a randomly selected oil change. Question 5 Subquestions 5.a 1 point(s) What is the probability that a randomly selected oil change takes at most 20 minutes to complete? P(X≤ 20) = 0 P(X≤ 20) = 0.5000 P(X≤ 20) = 0.375 P(X≤ 20) = 0.625 P(X≤ 20) = 1 5.b 1 point(s) Assuming a randomly selected oil change has already taken 18 minutes and it is still not complete, what is the probability that the oil change takes no more than 5 additional minutes to complete?Suppose 500 oil changes are selected at random. What model would you use to approximate the probability that at least 190 of the randomly selected oil changes take at most 20 minutes to complete? Provide the approximate model with corresponding parameters.

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