Let X be the number of widgets that are defective when 3 widgets are randomly chosen and observed. The possible values for X are {0, 1, 2, 3}. The probability mass function for X is as follows. |  X  | f(x) = P(X = x) | |  0  |       0.550      | |  1  |       0.250      | |  2  |       0.175      | |  3  |       0.025      | Find: - E(X) - Var(X) - F(1) - F(2) - F(3)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Let X be the number of widgets that are defective when 3 widgets are randomly chosen and observed. The possible values for X are {0, 1, 2, 3}. The probability mass function for X is as follows.

|  X  | f(x) = P(X = x) |
|  0  |       0.550      |
|  1  |       0.250      |
|  2  |       0.175      |
|  3  |       0.025      |


Find:
- E(X)
- Var(X)
- F(1)
- F(2)
- F(3)

Please include the calculation

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