Question 4 (1 point) Exercise 36.12. Distances between cars. On a busy interstate highway, there are 21 cars in a particular lane. Let ( mathrm{X}_{1}, ldots, mathrm{X}_{20} ) denote the 20 distances between these 21 cars. At a particular moment, the ( mathrm{X}_{mathrm{j}} ) 's are judged to be approximately Normal, with an average of 500 feet between consecutive cars and standard deviation of 75 feet. Find the probability that the row of 21 cars is less than two miles long (each mile contains 5280 feet) if the length of each car is assumed to be negligible, i.e., we do not take into account the lengths of the 21 cars themselves. Please round your answer to 3 decimal places. Your Answer: Question 5 (1 point) Exercise 36.12. Distances between cars. On a busy interstate highway, there are 21 cars in a particular lane. Let ( mathrm{X}_{1}, ldots, mathrm{X}_{20} ) denote the 20 distances between these 21 cars. At a particular moment, the ( mathrm{X}_{mathrm{j}} ) 's are judged to be approximately Normal, with an average of 500 feet between consecutive cars and standard deviation of 75 feet. Find the probability that the row of 21 cars is less than two miles long (each mile contains 5280 feet) if the length of each car is assumed to be fixed at 13.5 feet long. Please round your answer to 3 decimal places. Your Answer:
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We are given that there are 21 cars on a highway, and the distances between each consecutive car are normally distributed with a mean (Ī¼) of 500 feet and a standard deviation (Ļ) of 75 feet. We want to find the probability that the total distance covered by these Show moreā¦
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