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.

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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