Assume a binomial distribution where n 5 and formula139mml

Assume a binomial distribution where n = 5 and formula139.mml. a. Refer to Appendix B.1 and list the probabilities for values of x from 0 to 5. (Round your answers to 3 decimal places.) x P(x) 0 1 2 3 4 5 b. Determine the mean and standard deviation of the distribution from the general definitions given in formulas (6-1) and (6-2). (Round your mean value to 2 decimal places and standard deviation value to 3 decimal places.) Mean Standard deviation

Solution

Here, just as an example, we let n = 5, p = 3.

Consider the table:

Thus,          
          
E(x) =    1.5 [ANSWER, MEAN]
Var(x) = E(x^2) - E(x)^2 =    1.05
s(x) =    1.024695077 [answer, standard deviation]