Three tables listed below show random variables and their probabilities. However, only one of these is actually a probability distribution.
A |
B |
C |
|||||
x |
P(x) |
x |
P(x) |
x |
P(x) |
||
25 |
0.1 |
25 |
0.1 |
25 |
0.1 |
||
50 |
0.1 |
50 |
0.1 |
50 |
0.1 |
||
75 |
0.6 |
75 |
0.6 |
75 |
0.6 |
||
100 |
0.2 |
100 |
0.4 |
100 |
0.6 |
a. Which of the above tables is a probability distribution?
(Click to select) A C B
b. Using the correct probability distribution, find the probability that x is: (Round the final answers to 1 decimal place.)
1. | Exactly 100 = | |
2. | No more than 50 = | |
3. | More than 25 = | |
c. Compute the mean, variance, and standard deviation of this distribution. (Round the final answers to 2 decimal places.)
1. | Mean µ | |
2. | Variance σ2 | |
3. | Standard deviation σ | |
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