Statistical Sciences 2244A/B Final: Formulae
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14 Apr 2020
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1. If P(A)= 0.5, and P(B)=0.2, then P(A|B) =
A. 0.7
B. 0.3
C. 0.1
D. Cannot be determined from the given information
2. denotes the number of parts available for assembly at a given station on an assembly line; denotes the number of parts available at another station on the same assembly line. The joint pmf of and is depicted below:
X2
0 | 1 | 2 | 3 | ||
0 | 0.08 | 0.07 | 0.04 | 0.00 | |
1 | 0.06 | 0.15 | 0.05 | 0.04 | |
X1 | 2 | 0.05 | 0.04 | 0.10 | 0.06 |
3 | 0.00 | 0.03 | 0.04 | 0.07 | |
4 | 0.00 | 0.01 | 0.05 | 0.06 |
Find
(a)
(b)
(c) The probability that there are twice as many parts waiting at one station than at the other.