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A penny and a nickel are tossed. The penny has probability

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 29SE Chapter 2

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 29SE

Problem 29SE

A penny and a nickel are tossed. The penny has probability 0.4 of coming up heads, and the nickel has probability 0.6 of coming up heads. Let X = 1 if the penny comes up heads, and let X = 0 if the penny comes up tails. Let Y = 1 if the nickel comes up heads, and let Y = 0 if the nickel comes up tails.

a. Find the probability mass function of X.

b. Find the probability mass function of Y.

c. Is it reasonable to assume that X and Y are independent? Why?

d. Find the joint probability mass function of X and Y.

Step-by-Step Solution:

Step 1 of 5:

The experiment here is tossing a penny and nickel.

Let X denotes the outcomes when a penny is tossed and let Y denotes the outcomes when a nickel is tossed.

If X=1,then the outcome is head and if X=0 then the outcome is tail for a penny.

If Y=1,then the outcome is head and if Y=0 then the outcome is tail for a nickel.

It is also given that,

0.4,=0.6 and

=0.6,=0.4


Step 2 of 5

Chapter 2, Problem 29SE is Solved
Step 3 of 5

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 29SE from 2 chapter was answered, more than 266 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Probability, nickel, comes, Penny, let. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “A penny and a nickel are tossed. The penny has probability 0.4 of coming up heads, and the nickel has probability 0.6 of coming up heads. Let X = 1 if the penny comes up heads, and let X = 0 if the penny comes up tails. Let Y = 1 if the nickel comes up heads, and let Y = 0 if the nickel comes up tails.a. Find the probability mass function of X.________________b. Find the probability mass function of Y.________________c. Is it reasonable to assume that X and Y are independent? Why?________________d. Find the joint probability mass function of X and Y.” is broken down into a number of easy to follow steps, and 104 words. The full step-by-step solution to problem: 29SE from chapter: 2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM.

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A penny and a nickel are tossed. The penny has probability