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The diameter of a newly minted coin (in mm) is a random variable with probability density...

The diameter of a newly minted coin (in mm) is a random variable with probability density function ?(?) = { 3/4 (? − 12)(14 − ?) 12 < ? ≤ 14}

{ 0 otherwise}

A. What is the probability that the diameter is less than 12.8?

B. What is the probability that the diameter is greater than 13.5?

C. Find the mean diameter

D. Find the standard deviation of the diameters

E. Find the cumulative distribution function of the diameter

F. The specification for the diameter is 12.8 to 13.1 mm. What is the probability that the specification is met?

Math   Statistics-And-Probability   
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