4. Kitty generates random numbers between 1 and 6 by rolling a fair cubical die. Caleb generates random numbers between 1 and 6 by tossing a fair coin five times, counting the heads, and adding 1 to the result. Ursula generates random numbers between 1 and 6 by tossing a fair coin three times to generate a binary number with 3 bits (H = 1, T = 0). If she gets 000 or 111 she discards the result and tosses the coin 3 more times. Otherwise, she accepts the binary number resulting from the 3 tosses. Let K, C, and U be the random variables describing the outcomes of these 3 random number generators. Describe the three probability mass functions Pk, Pc, and Pu.

4. Kitty generates random numbers between 1 and 6 by rolling a fair cubical die. Caleb generates random numbers between 1 and 6 by tossing a fair coin five times, counting the heads, and adding 1 to the result. Ursula generates random numbers between 1 and 6 by tossing a fair coin three times to generate a binary number with 3 bits (H = 1, T = 0). If she gets 000 or 111 she discards the result and tosses the coin 3 more times. Otherwise, she accepts the binary number resulting from the 3 tosses. Let K, C, and U be the random variables describing the outcomes of these 3 random number generators. Describe the three probability mass functions Pk, Pc, and Pu.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...

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