ELEMENTARY STATISTICS PKG >IP<
ELEMENTARY STATISTICS PKG >IP<
12th Edition
ISBN: 9781269338967
Author: Triola
Publisher: PEARSON C
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Textbook Question
Chapter 5, Problem 1CQQ

Is a probability distribution defined if the only possible values of a random variable are 0, 1, 2, 3, and P(0) = P(1) = P(2) = P(3) = 0.25?

Expert Solution & Answer
Check Mark
To determine
Whether or not the random variable x is a probability distribution.

Answer to Problem 1CQQ

Yes, the random variable x follows the probability distribution.

Explanation of Solution

Given info:

The random variable x takes values 0, 1, 2, and 3. Also, each of the value of the random variable has equal probability of 0.25.

Requirements:

The following requirements should be satisfied for the distribution to follow probability distribution.

  1. 1. The given random variable (x) must take up numerical values and it should have its corresponding probabilities.
  2. 2. The sum of all probabilities must be equal to 1. That is, P(x)=1
  3. 3. The probability values must lie between 0 and 1, inclusive. That is, 0P(x)1

Here, the random variable x takes the numerical values, 0 to 3. Also each value of x has its corresponding probability. Hence, the requirement 1 is satisfied.

The sum of all probabilities is,

P(x)=0.25+0.25+0.25+0.25=1

Here, it is observed random variable x satisfies all the requirement of probability distribution function.

Thus, the random variable x follows the probability distribution

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Chapter 5 Solutions

ELEMENTARY STATISTICS PKG >IP<

Ch. 5.2 - Identifying Probability Distributions. In...Ch. 5.2 - Identifying Probability Distributions. In...Ch. 5.2 - Happiness In a survey sponsored by Coca-Cola,...Ch. 5.2 - Identifying Probability Distributions. In...Ch. 5.2 - Genetics. In Exercises 15-18, refer to the...Ch. 5.2 - Genetics. In Exercises 15-18, refer to the...Ch. 5.2 - Genetics. In Exercises 15-18, refer to the...Ch. 5.2 - Genetics. In Exercises 15-18, refer to the...Ch. 5.2 - Car Failures. In Exercises 19-22, refer to the...Ch. 5.2 - Car Failures. In Exercises 19-22, refer to the...Ch. 5.2 - Car Failures. 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In Exercises...Ch. 5.3 - Prob. 16BSCCh. 5.3 - Using the Binomial Probability Table. In Exercises...Ch. 5.3 - Prob. 18BSCCh. 5.3 - Prob. 19BSCCh. 5.3 - Using the Binomial Probability Table. In Exercises...Ch. 5.3 - Prob. 21BSCCh. 5.3 - Prob. 22BSCCh. 5.3 - Prob. 23BSCCh. 5.3 - Prob. 24BSCCh. 5.3 - Using Computer Results. In Exercises 2528, refer...Ch. 5.3 - Prob. 26BSCCh. 5.3 - Prob. 27BSCCh. 5.3 - Using Computer Results. In Exercises 2528, refer...Ch. 5.3 - See You Later Based on a Harris Interactive poll,...Ch. 5.3 - Live TV Based on a Comcast survey, there is a 0.8...Ch. 5.3 - Too Young to Tat Based on a Harris poll, among...Ch. 5.3 - Tainted Currency Based on the American Chemical...Ch. 5.3 - Prob. 33BSCCh. 5.3 - Prob. 34BSCCh. 5.3 - On-Time Flights The U.S. Department of...Ch. 5.3 - Prob. 36BSCCh. 5.3 - Nielsen Rating CBS televised a recent Super Bowl...Ch. 5.3 - Overbooking Flights When someone buys a ticket for...Ch. 5.3 - XSORT Method of Gender Selection When testing a...Ch. 5.3 - Prob. 40BSCCh. 5.3 - Prob. 41BSCCh. 5.3 - Prob. 42BSCCh. 5.3 - Acceptance Sampling. Exercises 35 and 36 involve...Ch. 5.3 - Prob. 44BSCCh. 5.3 - Prob. 46BBCh. 5.3 - Prob. 47BBCh. 5.4 - Prob. 1BSCCh. 5.4 - Prob. 2BSCCh. 5.4 - Prob. 3BSCCh. 5.4 - Prob. 4BSCCh. 5.4 - Finding , , and Unusual Values. In Exercises 58,...Ch. 5.4 - Prob. 6BSCCh. 5.4 - Prob. 7BSCCh. 5.4 - Prob. 8BSCCh. 5.4 - Prob. 9BSCCh. 5.4 - Prob. 10BSCCh. 5.4 - Are 20% of MM Candies Orange? Mars, Inc. claims...Ch. 5.4 - Are 14% of MM Candies Yellow? Mars, Inc. claims...Ch. 5.4 - Cell Phones and Brain Cancer In a study of 420,095...Ch. 5.4 - Prob. 14BSCCh. 5.4 - Prob. 15BSCCh. 5.4 - Prob. 16BSCCh. 5.4 - Prob. 17BSCCh. 5.4 - Prob. 18BSCCh. 5.4 - Born on the 4th of July For the following...Ch. 5.4 - Prob. 20BSCCh. 5.4 - Prob. 21BBCh. 5.4 - Prob. 23BBCh. 5.5 - Prob. 1BSCCh. 5.5 - Prob. 2BSCCh. 5.5 - Poission Approximation to Binomial Assume that we...Ch. 5.5 - Prob. 4BSCCh. 5.5 - Aircraft Accidents. In Exercises 58, assume that...Ch. 5.5 - Aircraft Accidents. In Exercises 58, assume that...Ch. 5.5 - Aircraft Accidents. In Exercises 58, assume that...Ch. 5.5 - Aircraft Accidents. 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