The following table shows part of the probability distribution for a random variable x.
x
f(x)
0
0.2
1
?
2
0.15
3
?
4
0.15
?
a.
The mean of the above distribution is known to be 1.8 (i.e., E(x) = 1.8). Determine f(1) and f(3).
b.
Compute the variance and the standard deviation for the above probability distribution.
What will be an ideal response?
| a. | 0.3 and 0.2 |
| b. | Variance = 1.86, Standard deviation = 1.364 (rounded) |
Business
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