Concept explainers
(a)
To calculate: The
(a)
Answer to Problem 79E
The probability when X is equal to 7 is 0.57.
Explanation of Solution
Given information:
Probability of sample is:
Days X | Probabilities |
0 | 0.04 |
1 | 0.03 |
2 | 0.06 |
3 | 0.08 |
4 | 0.09 |
5 | 0.08 |
6 | 0.05 |
Calculation:
Add all probabilities are:
The sum of the all probabilities should be equal to 1.
Now, find the missing probabilities.
Hence, the probability when X is equal to 7 is 0.57.
(b)
To calculate: The mean of the random variable X.
(b)
Answer to Problem 79E
The mean of the random variable X is 5.44.
Explanation of Solution
Given information:
Probability of sample is:
Days X | Probabilities |
0 | 0.04 |
1 | 0.03 |
2 | 0.06 |
3 | 0.08 |
4 | 0.09 |
5 | 0.08 |
6 | 0.05 |
7 | 0.57 |
Formula used:
The sample mean
Calculation:
Find the mean, use the formula
Hence, the mean of the random variable X is 5.44.
(c)
To calculate: The standard deviation of the random variable X.
(c)
Answer to Problem 79E
The sample mean of 4.96 is within standard deviation of the mean 2.1369.
Explanation of Solution
Given information:
Probability of sample is:
Days X | Probabilities |
0 | 0.04 |
1 | 0.03 |
2 | 0.06 |
3 | 0.08 |
4 | 0.09 |
5 | 0.08 |
6 | 0.05 |
7 | 0.57 |
Sample mean
Formula used:
The standard deviation
Calculation:
Find the standard deviation, use the formula
Hence, the sample mean of 4.96 is within standard deviation of the mean 2.1369.
Chapter 8 Solutions
The Practice of Statistics for AP - 4th Edition
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