suppose a student either has 12 or 3 finals to take each wit
suppose a student either has 1,2, or 3 finals to take each with a respective probability of .19, .47, and .34. What is a student\'s expected number of finals? what is the standard deviation?
Solution
Thus we have E(X) = 2.15 = Mean
Variance = E(X^2)-2.15^2
= 5.13- 4.6225=0.5075
std dev = square root of variance = 0.7124
| x | 1 | 2 | 3 | Total |
| p | 0.19 | 0.47 | 0.34 | 1 |
| px | 0.19 | 0.94 | 1.02 | 2.15 |
| x^2p | 0.19 | 1.88 | 3.06 | 5.13 |
