Question 3 A bowl contains twelve batteries of which four are new, five are used (working) and three are defective. Two batteries are randomly drawn without replacement. Let X denote the number of new batteries chosen and let y denote the number of used batteries chosen. a) Construct the joint probability mass function (p.m.f.) of X and Y. b) From (a), produce the marginal p.m.f. of X and Y. c) Compute E(X).

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Question 3
A bowl contains twelve batteries of which four are new, five are used (working) and
three are defective. Two batteries are randomly drawn without replacement. Let X
denote the number of new batteries chosen and let y denote the number of used
batteries chosen.
a)
Construct the joint probability mass function (p.m.f.) of X and Y.
b)
From (a), produce the marginal p.m.f. of X and Y.
Compute E(X).
Transcribed Image Text:Question 3 A bowl contains twelve batteries of which four are new, five are used (working) and three are defective. Two batteries are randomly drawn without replacement. Let X denote the number of new batteries chosen and let y denote the number of used batteries chosen. a) Construct the joint probability mass function (p.m.f.) of X and Y. b) From (a), produce the marginal p.m.f. of X and Y. Compute E(X).
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