In: Math
For questions 1-5, X1, X2, ... , X23 is a random sample from a distribution with mean μ = -1.02 and variance σ2 = 0.62.
For questions 5-10, X1, X2, ... , X28 is a random sample from a distribution with mean μ = -8.77 and variance σ2 = 1.28.
1. Find μx, the mean of the sample average.
2. Find σ2x, the variance of the sample average.
3. Find P(X ≤ -1.14).
4. Find P(X > -1.14).
5. Find P(-1.08 < X ≤ -0.94).
6. Find μx, the mean of the sample average.
7. Find σ2x, the variance of the sample average.
8. Find P(X ≤ -8.47).
9. Find P(X > -8.47).
10.Find P(-9.02 < X ≤ -8.64).