a. Explanation Given info: It is estimated that 20% of the voters have casted their votes in a non-presidential election. Take a random sample of 10 voters. Use the sample to estimate the probabilities. Calculation: Answers will vary. One of the possible answers is given below: Define a random variable x as the number of voters who have casted their votes. The total number of voters selected is ( n ) is 10 and each voter is independent of another voter. Also, there are two possible outcomes (voted in this election or did not vote in this election) and the probability of that the selected voter who have casted vote in this non-presidential election is ( p ) 0.20. Thus, x follows binomial distribution. The binomial distribution formula is, P ( x ) = n ! ( n − x ) ! x ! p x q n − x Where, n is the number of trials, x is the number of successes among n trials, p is the probability of success and q is the probability of failure. Substitute n as 10, x as 4, p as 0.20, q as 0.80 ( = 1 − 0.20 ) Applet procedure: Step-by-step procedure to obtain the binomial probability is given below: Click on Binomial distribution b. To determine The probability of getting at least5 voters who have casted their vote. c. To determine The probability of getting less than4 voters who have casted their vote.

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ISBN: 9780134683577

Author: Larson

Publisher: PEARSON CO

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Chapter 4.2, Problem 2A

To determine

The probability of getting exactly 4 voters who have casted their vote.

To determine

The probability of getting at least5 voters who have casted their vote.

To determine

The probability of getting less than4 voters who have casted their vote.

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Chapter 4.2, Problem 1A

Chapter 4.2, Problem 3A

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The probability of getting exactly 4 voters who have casted their vote.

Solution Summary: The author explains how to determine the probability of getting exactly 4 voters who have casted their vote in a non-presidential election.

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The probability of getting exactly 4 voters who have casted their vote.

The probability of getting at least5 voters who have casted their vote.

The probability of getting less than4 voters who have casted their vote.

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