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Elongation (in percent) of steel plates treated with
Chapter 2, Problem 14E(choose chapter or problem)
Elongation (in percent) of steel plates treated with aluminum are random with probability density function
\(f(x)=\left\{\begin{array}{cl} \frac{x}{250} & 20<x<30 \\ 0 & \text { otherwise } \end{array}\right. \)
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?
Questions & Answers
QUESTION:
Elongation (in percent) of steel plates treated with aluminum are random with probability density function
\(f(x)=\left\{\begin{array}{cl} \frac{x}{250} & 20<x<30 \\ 0 & \text { otherwise } \end{array}\right. \)
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?
ANSWER:Solution
Step 1 of 5
Here given elongation of steel plates treated with aluminium are random
The given pdf is
=0, Otherwise
a) we need to find the proportion of steel plates have elongation greater than 25%
=1.8-1.25
=0.55
The proportion of steel plates have elongation greater than 25% is 0.55