Homework Answers
Answer: A population contains one million 0s and three million 1s. What is the sampling distribution of the sample mean when the sample size is n = 5?
Solution:
Population contains, 0's - 1 million
1's - 3 million
Let X be the number of 1s.
p = 3/(3+1) = 3/4 = 0.75
n = 5
Using binomial distribution:
P(X=x) = nCx * p^x * (1-p)^n-x
x̄ = x * P(x)
| x | P(x) | x̄ |
| 0 | 0.001 | 0 |
| 1 | 0.015 | 0.015 |
| 2 | 0.088 | 0.176 |
| 3 | 0.264 | 0.792 |
| 4 | 0.396 | 1.584 |
| 5 | 0.237 | 1.185 |
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