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Daily total solar radiation for a specified location in
Chapter 4, Problem 31E(choose chapter or problem)
The pH of water samples from a specific lake is a random variable Y with probability density function given by
\(f(y)=\left\{\begin{array}{ll} (3 / 8)(7-y)^{2}, & 5 \leq y \leq 7, \\ 0, & \text { elsewhere. } \end{array}\right.\)
a. Find E(Y) and V(Y).
b. Find an interval shorter than (5, 7) in which at least three-fourths of the pH measurements must lie.
c. Would you expect to see a pH measurement below 5.5 very often? Why?
Questions & Answers
QUESTION:
The pH of water samples from a specific lake is a random variable Y with probability density function given by
\(f(y)=\left\{\begin{array}{ll} (3 / 8)(7-y)^{2}, & 5 \leq y \leq 7, \\ 0, & \text { elsewhere. } \end{array}\right.\)
a. Find E(Y) and V(Y).
b. Find an interval shorter than (5, 7) in which at least three-fourths of the pH measurements must lie.
c. Would you expect to see a pH measurement below 5.5 very often? Why?
Step 1 of 4
Given the probability density function is
\(f(y)=\left\{\begin{array}{ll} (3 / 8)(7-y)^{2}, & 5 \leq y \leq 7, \\ 0, & \text { elsewhere. } \end{array}\right.\)