Solution Found!
The level of impurity (in percent) in the product of a
Chapter 2, Problem 19E(choose chapter or problem)
The level of impurity (in percent) in the product of a certain chemical process is a random variable with probability density function
\(\left\{\begin{array}{cl}
\frac{3}{64} x^{2}(4-x) & 0<x<4 \\
0 & \text { otherwise }
\end{array}\right.
\)
a. What is the probability that the impurity level is greater than 3%?
b. What is the probability that the impurity level is between 2% and 3%?
c. Find the mean impurity level.
d. Find the variance of the impurity levels.
e. Find the cumulative distribution function of the impurity level
Equation Transcription:
Text Transcription:
{0 otherwise ^3{over}64 x^2(4-x) 0<x<4
Questions & Answers
QUESTION:
The level of impurity (in percent) in the product of a certain chemical process is a random variable with probability density function
\(\left\{\begin{array}{cl}
\frac{3}{64} x^{2}(4-x) & 0<x<4 \\
0 & \text { otherwise }
\end{array}\right.
\)
a. What is the probability that the impurity level is greater than 3%?
b. What is the probability that the impurity level is between 2% and 3%?
c. Find the mean impurity level.
d. Find the variance of the impurity levels.
e. Find the cumulative distribution function of the impurity level
Equation Transcription:
Text Transcription:
{0 otherwise ^3{over}64 x^2(4-x) 0<x<4
ANSWER:
Answer:
Step 1 of 5:
Given, the probability density function is
