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