Elongation (in percent) of steel plates treated with aluminum are random with probability density function. a. What

Question:

Elongation (in percent) of steel plates treated with aluminum are random with probability density function.

|f(x) = { 250 20 <x < 30 otherwise

a. What proportion of steel plates have elongations greater than 25%?

b. Find the mean elongation.

c. Find the variance of the elongations.

d. Find the standard deviation of the elongations.

e. Find the cumulative distribution function of the elongations.

f. A particular plate elongates 28%. What proportion of plates elongate more than this?

Distribution
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