Managerial Statistics

​A. Find 1. Mean, 2. Median, and 3. Midrange for the following data; 27, 17, 11, 8, 25, 15, 16, 14, 14, 14, 18, 13,12,10,30,28.

B. For a following sample, find 4. Mean, 5. Median, and 6. Sample Variance. X frequency____________________________________ 10 10 30 20 40 30 50 40

C. Random variable X has a Normal distribution, N(40, 25). 7. P(X > 35) =

8. P(34 < X < 42​) =

D. Random variable X has a Binomial distribution, B(6, 0.5). 9. P(X < 5) =

E. Random variable X has a Binomial distribution, B(36, 0.5). 10. Standard deviation of X =

​11. Use Normal approximation, P(X < 19)​ =

F. For a student's t-table, find m such that P(t > m) = 0.05 ​with​ sample size is 10. 12. m =

G. If P(A) = 0.5, P(B) = 0.6, and (A or B) = 0.7, then 13. P(A and B) =

H. If events A and B are independent, then 14. P(A l B) =