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1. Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. a. What are the possible values of X? b. Give three possible outcomes and their associated X values. 2. Two fair six-sided dice are tossed independently. Let M= the maximum of the two tosses (so M(1,5)=5, M(3,3)=3, etc.) What is the pmf of M? [Hint: First determine P(M=1), then P(M=2), and so on.]

1. Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. a. What are the possible values of X? b. Give three possible outcomes and their associated X values. 2. Two fair six-sided dice are tossed independently. Let M= the maximum of the two tosses (so M(1,5)=5, M(3,3)=3, etc.) What is the pmf of M? [Hint: First determine P(M=1), then P(M=2), and so on.]

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 32E
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1. Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. a. What are the possible values of X? b. Give three possible outcomes and their associated X values. the maximum of the two tosses 2. Two fair six-sided dice are tossed independently. Let M = (so M(1,5)=5, M(3,3)=3, etc.) What is the pmf of M? [Hint: First determine P(M=1), then P(M=2), and so on.]
Transcribed Image Text:1. Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. a. What are the possible values of X? b. Give three possible outcomes and their associated X values. the maximum of the two tosses 2. Two fair six-sided dice are tossed independently. Let M = (so M(1,5)=5, M(3,3)=3, etc.) What is the pmf of M? [Hint: First determine P(M=1), then P(M=2), and so on.]
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