(a) If the price of a freezer having capacity X cubic feet is 25X-8.5, what is the expected price paid by the next customer to buy a freezer? (b) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X - 0.01X2. What is the expected actual capacity of the freezer purchased by the next customer?
(a) If the price of a freezer having capacity X cubic feet is 25X-8.5, what is the expected price paid by the next customer to buy a freezer? (b) Suppose that although the rated capacity of a freezer is X, the actual capacity is h(X) = X - 0.01X2. What is the expected actual capacity of the freezer purchased by the next customer?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![**Probability Distribution of Freezer Storage Space**
An appliance dealer sells three different models of upright freezers with storage capacities of 13.5, 15.9, and 19.1 cubic feet, respectively. Let \( X \) represent the storage space purchased by the next customer. The probability distribution of \( X \) is as follows:
\[
\begin{array}{c|ccc}
x & 13.5 & 15.9 & 19.1 \\
\hline
f(x) & 0.2 & 0.4 & 0.4 \\
\end{array}
\]
(a) If the price of a freezer with \( X \) cubic feet is \( 25X - 8.5 \), what is the expected price paid by the next customer to buy a freezer?
(b) Suppose that although the rated capacity of a freezer is \( X \), the actual capacity is given by \( h(X) = X - 0.01X^2 \). What is the expected actual capacity of the freezer purchased by the next customer?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80864b91-d3a3-4910-ac0e-8d4cb607fd82%2F21ca9731-b728-43f3-ae7c-4b516bfa42f6%2Fw5ktotw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution of Freezer Storage Space**
An appliance dealer sells three different models of upright freezers with storage capacities of 13.5, 15.9, and 19.1 cubic feet, respectively. Let \( X \) represent the storage space purchased by the next customer. The probability distribution of \( X \) is as follows:
\[
\begin{array}{c|ccc}
x & 13.5 & 15.9 & 19.1 \\
\hline
f(x) & 0.2 & 0.4 & 0.4 \\
\end{array}
\]
(a) If the price of a freezer with \( X \) cubic feet is \( 25X - 8.5 \), what is the expected price paid by the next customer to buy a freezer?
(b) Suppose that although the rated capacity of a freezer is \( X \), the actual capacity is given by \( h(X) = X - 0.01X^2 \). What is the expected actual capacity of the freezer purchased by the next customer?
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