Solution: assume all variables are binomial. (Note: If

Chapter 5, Problem 11E

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QUESTION:

Problem 11E

assume all variables are binomial. (Note: If values are not found in Table B of Appendix C, use the binomial formula.)

Survey on Concern for Criminals In a survey, 3 of 4 students said the courts show “too much concern” for criminals. Find the probability that at most 3 out of 7 randomly selected students will agree with this statement.

Source: Harper’s Index

Questions & Answers

QUESTION:

Problem 11E

assume all variables are binomial. (Note: If values are not found in Table B of Appendix C, use the binomial formula.)

Survey on Concern for Criminals In a survey, 3 of 4 students said the courts show “too much concern” for criminals. Find the probability that at most 3 out of 7 randomly selected students will agree with this statement.

Source: Harper’s Index

ANSWER:

Solution:

Step 1 of 2:

    From the given problem, we have

n = 7,  p = 

               = 0.75

 We have to assume all variables are binomial.

  Then, the pmf of the binomial distribution is

             

   


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