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The temperature Y at which a thermostatically controlled
Chapter 4, Problem 29E(choose chapter or problem)
The temperature at which a thermostatically controlled switch turns on has probability density function given by
\(f(y)=\left\{\begin{array}{ll}
1 / 2, & 59 \leq y \leq 61, \\
0, & \text { elsewhere. }
\end{array}\right.
\)
Find \(E(Y)\) and \(V(Y)\).
Equation Transcription:
Text Transcription:
f(y)=
1/2, 59</=y</=61,
0, elsewhere.
E(Y)
V(Y)
Questions & Answers
QUESTION:
The temperature at which a thermostatically controlled switch turns on has probability density function given by
\(f(y)=\left\{\begin{array}{ll}
1 / 2, & 59 \leq y \leq 61, \\
0, & \text { elsewhere. }
\end{array}\right.
\)
Find \(E(Y)\) and \(V(Y)\).
Equation Transcription:
Text Transcription:
f(y)=
1/2, 59</=y</=61,
0, elsewhere.
E(Y)
V(Y)
ANSWER:
Solution:
Step 1 of 3:
Let Y be a random variable with the density function
The claim is to find the E(Y) and V(Y)