Concept explainers
(a)
To find: The expected number of single ticket.
(a)
Answer to Problem 16PPS
The expected number of single ticket is $0.29
Explanation of Solution
Given;
The French Club sold 500 raffle tickets for $1 each.
The win for first, 2 second and 5 third is $100, $10 and $5
Calculation:
The expected value is calculated as,
Thus, the expected number of single ticket is $0.29
(b)
To find: The standard deviation.
(b)
Answer to Problem 16PPS
The standard deviation is 4.53
Explanation of Solution
The formula for the variance is,
The formula for the standard deviation is,
X | P(X) | ||
$100 | 0.00200 | 9942.0841 | 19.8841682 |
$10 | 0.00400 | 94.2841 | 0.3771364 |
$5 | 0.01000 | 22.1841 | 0.221841 |
$0 | 0.98400 | 0.0841 | 0.0827544 |
20.5659 | |||
4.53 |
Table 1
Thus, the standard deviation is 4.53
(c)
To find: The raffle in which participation is done.
(c)
Answer to Problem 16PPS
The raffle in which participation is done is Glee Club.
Explanation of Solution
The Glee Club is less risky than the French Club as the Glee Club has almost half the standard deviation than the French Club.
Thus, the raffle in which participation is done is Glee Club.
Chapter 11 Solutions
Glencoe Algebra 2 Student Edition C2014
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