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(c) number of pips on the top face for the first roll is 2, what is the probability that the sum of the number of pips on the top face over the two rolls is at least 5? The die is rolled twice, and results from different rolls are independent. Given that the

(c) number of pips on the top face for the first roll is 2, what is the probability that the sum of the number of pips on the top face over the two rolls is at least 5? The die is rolled twice, and results from different rolls are independent. Given that the

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Solve c,d

(c) number of pips on the top face for the first roll is 2, what is the probability that the sum of the number of pips on the top face over the two rolls is at least 5? The die is rolled twice, and results from different rolls are independent. Given that the (d) | the probability that 1 pip and 2 pips both occur at least once on the top face over the three rolls? The die is rolled three times, and results from different rolls are independent. What is
Transcribed Image Text:(c) number of pips on the top face for the first roll is 2, what is the probability that the sum of the number of pips on the top face over the two rolls is at least 5? The die is rolled twice, and results from different rolls are independent. Given that the (d) | the probability that 1 pip and 2 pips both occur at least once on the top face over the three rolls? The die is rolled three times, and results from different rolls are independent. What is
Question 5 probability function (pf) of X, f(x) = P(X = x) is given by the following table: An irregular die is rolled. Let X be the number of pips on the top face. The 1 2 4 _f(x) | 0.25k² 0.15 0.2k 0.1 0.2k 0.1k (a) Find the value of k that makes this a valid probability function. (b) Graph the cumulative distribution function (cdf) F(x) = P(X < x) for all x.
Transcribed Image Text:Question 5 probability function (pf) of X, f(x) = P(X = x) is given by the following table: An irregular die is rolled. Let X be the number of pips on the top face. The 1 2 4 _f(x) | 0.25k² 0.15 0.2k 0.1 0.2k 0.1k (a) Find the value of k that makes this a valid probability function. (b) Graph the cumulative distribution function (cdf) F(x) = P(X < x) for all x.
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