Concept explainers
(a)
Section 1:
The mean of the number of heads.
(a)
Section 1:
Answer to Problem 87E
Solution: The mean of the number of heads
Explanation of Solution
Section 2:
The standard deviation of number of heads.
Section 2:
Answer to Problem 87E
Solution: The standard deviation
Explanation of Solution
And it is calculated as
So, the standard deviation is calculated as
(b)
Section 1:
The mean of the number of heads.
(b)
Section 1:
Answer to Problem 87E
Solution: The mean is 2.
Explanation of Solution
For 0 head, there will be
For 1 head, there will be
For 2 heads, there will be
For 3 heads, there will be
For 4 heads, there will be
So, there will be total
Number of heads |
Favorable arrangements |
Probability |
0 |
1 |
1/16 |
1 |
4 |
4/16 |
2 |
6 |
6/16 |
3 |
4 |
4/16 |
4 |
1 |
1/16 |
Now, the formula of mean is as follows:
And it is calculated as
Section 2:
The standard deviation.
Section 2:
Answer to Problem 87E
Solution: The standard deviation is 1.
Explanation of Solution
And it is calculated as
(c)
Section 1:
The mean using the distribution provided in Example 4.23.
(c)
Section 1:
Answer to Problem 87E
Solution: The mean is 2.
Explanation of Solution
Section 2:
The standard deviation using the distribution provided in Example 4.23.
Section 2:
Answer to Problem 87E
Solution: The standard deviation is 1.
Explanation of Solution
And it is calculated as
Section 3:
Whether the results obtained in part (b) and part (c) are the same.
Section 3:
Answer to Problem 87E
Solution: Yes, the results obtained in part (b) and parts (c) are same.
Explanation of Solution
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Chapter 4 Solutions
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