(a) A machine fills coke into bottles automatically. Actual volumes are normally distributedwith u = 500 ml and o = 10 ml.(i) Determine the probability that the bottles are filled within the tolerance limit of 485ml to 515 ml.(ii) Suppose the mean remains the same. Determine the change needed in the standarddeviation if 95% of the bottles must be within the tolerance limit of 485 ml to 515 ml.(b) It was found that an exponential distribution with a mean of 5 minutes was suitable tomodel the duration of a visitor at a website.(i) Find the probability that the website is viewed for at least 3 minutes.(ii) If the website has already been viewed for 1.5 minutes, find the probability that thehome page is viewed for an additional 0.5 minutes.(c) Jones figures that the total number of thousands of miles that an auto can be driven beforeit would need to be junked is uniformly distributed over [0, 40]. Smith has a used car thathe claims has been driven only 10,000 miles. If Jones purchases the car, determine theprobability that she would get at least 20,000 additional miles out of it.

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A machine fills coke into bottles automatically. Actual volumes are normally distributed with µ = 500 ml and o 10 ml. (i) Determine the probability that the bottles are filled within the tolerance limit of 485 ml to 515 ml. (ii) Suppose the mean remains the same. Determine the change needed in the standard deviation if 95% of the bottles must be within the tolerance limit of 485 ml to 515 ml.

A machine fills coke into bottles automatically. Actual volumes are normally distributed with µ = 500 ml and o 10 ml. (i) Determine the probability that the bottles are filled within the tolerance limit of 485 ml to 515 ml. (ii) Suppose the mean remains the same. Determine the change needed in the standard deviation if 95% of the bottles must be within the tolerance limit of 485 ml to 515 ml.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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