11. Little Red Riding Hood carried her grandma's sewing basket which contained 8 balls of cotton: 4 green, 3 red and 1 yellow. Three cotton balls are randomly selected from the basket. Let the discrete random variables G, R and Y be the number of green, red and yellow balls selected respectively. a. Draw up the probability distribution table of R and Y. b. Find E(Y) and E(R) c. Hence, without using the probability distribution of G, find E(G). d. Find Var (R)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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11. Little Red Riding Hood carried her grandma's sewing basket which contained 8 balls of cotton: 4
green, 3 red and 1 yellow. Three cotton balls are randomly selected from the basket. Let the
discrete random variables G, R and Y be the number of green, red and yellow balls selected
respectively.
a. Draw up the probability distribution table of R and Y.
b.
Find E(Y) and E(R)
c. Hence, without using the probability distribution of G, find E(G).
d.
Find Var (R)
Transcribed Image Text:11. Little Red Riding Hood carried her grandma's sewing basket which contained 8 balls of cotton: 4 green, 3 red and 1 yellow. Three cotton balls are randomly selected from the basket. Let the discrete random variables G, R and Y be the number of green, red and yellow balls selected respectively. a. Draw up the probability distribution table of R and Y. b. Find E(Y) and E(R) c. Hence, without using the probability distribution of G, find E(G). d. Find Var (R)
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