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Asked by Radha Last Modified
Answer There are 15 students in the class. Each student has the same chance to be chosen. Therefore, the probability of each student to be selected is
.
The given information can be compiled in the frequency table as follows.
| X | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 |
| f | 2 | 1 | 2 | 3 | 1 | 2 | 3 | 1 |
P(X = 14) =
, P(X = 15) =, P(X = 16) =, P(X = 16) =
,
P(X = 18) =, P(X = 19) =, P(X = 20) =, P(X = 21) =
Therefore, the probability distribution of random variable X is as follows.
| X | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 |
| f |
|
|
|
|
|
|
|
|
Then, mean of X = E(X)
E(X2) =
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