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The diameter of a rivet (in mm) is a random variable with probability density function ?(?)...

The diameter of a rivet (in mm) is a random variable with probability density function ?(?) = { 3 4 (? − 9)(11 − ?) 9 < ? ≤ 11 0 ??ℎ?????? }

a. probability diameter less than 9.8

b.probability greater than 10.5

c. find the mean diameter

d. find variance and standard deviation of the diameters

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Homework Answers

Answer #1

The given PDF is

a)Probability diameter less than 9.8 is

b)Probability diameter greater than 10.5 is

c) The mean diameter is

d) The variance is calculated as

The standard deviation is

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