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Suppose that a fair coin is tossed five times independently. Let V be the number of tails obtained on the ten tossed. Determine the possible value of V.

Suppose that a fair coin is tossed five times independently. Let V be the number of tails obtained on the ten tossed. Determine the possible value of V.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 1CA
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Tutorial 2 1. Suppose that a fair coin is tossed five times independently. Let V be the number of tails obtained on the ten tossed. Determine the possible value of V. 2. During the summer months, a rental agency keeps track of the number of speedboats rented each day during a period of 90 days. The variable X represents the number of a radom speedboats rented per day. The results are shown as follow. 1 2 Number of days 45 30 15 0.S D. 33 0,17 Compute probability P(X) for each X 3. Suppose that a box contained seven red balls and three blue balls. If four balls are selected at random without replacement, determine the probability distribution function of the number of red balls that will be obtained. 4. Determine whether each distribution is a probability distribution (a) 10 15 20 P(X=x) 1 1 1 (b) 1 3. 4. P(X=x) 1 6. Yes 8. 16 16 (c) P(X-x) 0.5 0.3 0.4 No 2) 1/4 2)
Transcribed Image Text:Tutorial 2 1. Suppose that a fair coin is tossed five times independently. Let V be the number of tails obtained on the ten tossed. Determine the possible value of V. 2. During the summer months, a rental agency keeps track of the number of speedboats rented each day during a period of 90 days. The variable X represents the number of a radom speedboats rented per day. The results are shown as follow. 1 2 Number of days 45 30 15 0.S D. 33 0,17 Compute probability P(X) for each X 3. Suppose that a box contained seven red balls and three blue balls. If four balls are selected at random without replacement, determine the probability distribution function of the number of red balls that will be obtained. 4. Determine whether each distribution is a probability distribution (a) 10 15 20 P(X=x) 1 1 1 (b) 1 3. 4. P(X=x) 1 6. Yes 8. 16 16 (c) P(X-x) 0.5 0.3 0.4 No 2) 1/4 2)
(d) 2 6. P(X=x) -1.0 1.5 0.3 0.2 No 5. The probability distribution of discrete random variable X is given by 12 13 P(X = x) k for x = 1, 2,3 x +1 (a) Find the value of k where k is a constant 0,3077 (b) Compute P(X = 2) (c) Compute P(X 2 or X = 3) 0.53P5 Tonoituat oi 6. Let k be a constant and consider the probability distribution function kx, x = 1,2,3 P(X = x) = {k(6- x), x = 4,5 0, otherwise Find the value of k. 1lowin 7. 8. A shipment of seven television sets contains two defective sets. A hotel makes a random purchase of three of the sets. If x is the number of defective sets purchased by the hotel, find 012 (a) the probability distribution of X. (b) the cumulative distribution of X. (c) P(X = 1)) (d) P(1 < X < 2) P(x =2)
Transcribed Image Text:(d) 2 6. P(X=x) -1.0 1.5 0.3 0.2 No 5. The probability distribution of discrete random variable X is given by 12 13 P(X = x) k for x = 1, 2,3 x +1 (a) Find the value of k where k is a constant 0,3077 (b) Compute P(X = 2) (c) Compute P(X 2 or X = 3) 0.53P5 Tonoituat oi 6. Let k be a constant and consider the probability distribution function kx, x = 1,2,3 P(X = x) = {k(6- x), x = 4,5 0, otherwise Find the value of k. 1lowin 7. 8. A shipment of seven television sets contains two defective sets. A hotel makes a random purchase of three of the sets. If x is the number of defective sets purchased by the hotel, find 012 (a) the probability distribution of X. (b) the cumulative distribution of X. (c) P(X = 1)) (d) P(1 < X < 2) P(x =2)
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