Determine the mean, the variance, and the standard deviation of the following discrete distribution:
| x |
P(X=x) |
| 0 |
0.112 |
| 1 |
0.238 |
| 2 |
0.014 |
| 3 |
.0234 |
Ten trials are conducted in a Bernoulli process in which the probability of success in a given trial is 0.4. If x = the number of successes, determine the following.
a. P(x=5)
b. P(4? x ? 8)
c. P(x> 4)