a.
To find: The
a.
Answer to Problem 11PT
The probability is 0.96.
Explanation of Solution
Given:
The probability distribution is:
value | 0 | 1 | 2 | 3 | 4 |
Probability | 0.78 | 0.11 | 0.07 | 0.03 | 0.01 |
Calculation:
If at least 10 eggs are unbroken, it means at most 2 are broken.
The probability can be calculated as:
Thus, the required probability is 0.96
b.
To find: The mean and interpret it
b.
Answer to Problem 11PT
The mean is 0.38
Explanation of Solution
Calculation:
The mean can be calculated as:
The expected number of broken eggs are 0.38.
c.
To find: The standard deviation and interpret it
c.
Answer to Problem 11PT
The standard deviation is 0.822.
Explanation of Solution
Calculation:
The standard deviation is calculated as follows:
The number of broken eggs are expected to differ by 0.822 from the mean of 0.38 eggs.
d.
To find: The probability that inspector find out the at least 2 broken eggs in one of the three cartons.
d.
Answer to Problem 11PT
The probability is 0.295.
Explanation of Solution
Calculation:
The probability of getting at least 2 broken eggs is:
Now,
Thus, the required probability is:
Chapter 6 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
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