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In Exercises, assume that 40% of the population has brown

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 1RE Chapter 5.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 1RE

Problem 1RE

In Exercises, assume that 40% of the population has brown eyes (based on data from Dr. P. Sorita at Indiana University).

Brown Eyes If six people are randomly selected, find the probability that none of them has brown eyes.

Step-by-Step Solution:

Answer:

Step 1:

            Given that, if six people are randomly selected, to find the probability that none of them has brown eyes.

      Assume that 40% of the population has brown eyes.

           Here,  P = 40% = 0.4, q = 1 - p = 1 - 0.4 = 0.6.

       Here ‘x’ follows binomial distribution with sample size “n” and proportion “p”.      

                        i.e,   X

        Probability mass function of binomial distribution is given by

                   P(x) = , x = 0,1,2,...,n.

           

     Assuming that 40% of the population has brown eyes,the probability that none of the 6 randomly selected persons has brown eyes is given by the binomial probability.

         

              P(0) =  

              P(0) = 0.047.

         

       

Step 2 of 1

Chapter 5.5, Problem 1RE is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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In Exercises, assume that 40% of the population has brown