Pad 12:54 PM webassign.net * 97% 8. +5/10 points | Previous Answers DevoreStat7

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Pad 12:54 PM webassign.net * 97% 8. +5/10 points | Previous Answers DevoreStat7 5.P.006.alt. My Notes Ask Your Teacher Let X denote the number of Canon digital cameras sold during a particular week by a certain store. The pmf of X is as follows x 0 1 2 3 4 px(x) 0.1 0.2 0.3 0.20 0.20 The probability that a particular customer buys an extended warranty given they purchase a camera is 0.60. Let Y denote the number of purchasers during this week who buy an extended warranty. (Give answers accurate to 3 decimal places.) (a) what is P(X = 4, Y = 2)? 0.06912 (b) Determine the joint pmf of X and Y. 4 0 0.1 1 0.08 X 2 0.048 3 0.016 4 0.038 0.12 0.144 0.072 0.108 0.108 0.02304 0.05184X (c) Determine the marginal pmf of Y 2 p(y) 0.2478 X | 0.35904 |X | 0.26784 |X (d) Calculate P(X- Y) 0.39712

Explanation / Answer

a) Formula for P(Y = k) = nck * pk * (1-p)(n-k)
P(X = 4, Y = 2) = P(X = 4)*P(Y=2) = 0.2*(4C2 * 0.62 * 0.42) = 0.06912

b)

c)

d) P(X=Y) = 0.1+0.12+0.108+0.0432+0.02592 = 0.39712

X/Y 0 1 2 3 4 0 0.1 0 0 0 0 1 0.08 0.12 0 0 0 2 0.048 0.144 0.108 0 0 3 0.0128 0.0576 0.0864 0.0432 0 4 0.00512 0.03072 0.06912 0.06912 0.02592

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