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10. A biased coin, in which the likeliness of landing on heads is three times more than tails, is tossed 100 times. Find the number of times we can expect the coin to land on heads. 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.

10. A biased coin, in which the likeliness of landing on heads is three times more than tails, is tossed 100 times. Find the number of times we can expect the coin to land on heads. 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 First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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9. Two dice (black and white) are rolled. Test if the following events are independent: A: Black die rolls a 1, 2, or 6 B: White die rolls a 3, 4, 5 or 7 C: The sum of the rolls is 7 10. A biased coin, in which the likeliness of landing on heads is three times more than tails, is tossed 100 times. Find the number of times we can expect the coin to land on heads. 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:9. Two dice (black and white) are rolled. Test if the following events are independent: A: Black die rolls a 1, 2, or 6 B: White die rolls a 3, 4, 5 or 7 C: The sum of the rolls is 7 10. A biased coin, in which the likeliness of landing on heads is three times more than tails, is tossed 100 times. Find the number of times we can expect the coin to land on heads. 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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