Concept explainers
(a)
To find: The graph for the theoretical probability distribution.
(a)
Answer to Problem 13PPS
The graph for the theoretical probability distribution is shown in figure 1.
Explanation of Solution
Given;
There is 1 prize for $20, 5 prizes for $10 and 10 prizes for $5.
Calculation:
From the given data, the plot for the theoretical probability distribution is drawn as,
Figure 1
In the above graph, the prizes are represented in the x axis while the probability is represented in y-axis.
Thus, the graph for the theoretical probability distribution is shown in figure 1.
(b)
To find: The expected value.
(b)
Answer to Problem 13PPS
The expected value is $1.20.
Explanation of Solution
Given;
There is 1 prize for $20, 5 prizes for $10 and 10 prizes for $5.
Calculation:
The expected value is calculated as,
Thus, the expected value is $1.20.
(c)
To find: The interpretation and conclusion.
(c)
Answer to Problem 13PPS
The interpretation and conclusion are discussed.
Explanation of Solution
Given;
There is 1 prize for $20, 5 prizes for $10 and 10 prizes for $5.
Calculation:
From the part (b), the value of the expected value is positive. As the chance to win a $0.20 for the cost of $1 is there. Thus, the person wants to participate in the raffle,
Thus, the interpretation and conclusion are discussed.
Chapter 11 Solutions
Glencoe Algebra 2 Student Edition C2014
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