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Cashless Society. 40% of consumers believe that cash will be obsolete in the next 20 years (based on a survey by J.P. Morgan Chase). In each of Exercises 15-20, assume that 8 consumers are randomly...

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Cashless Society. 40% of consumers believe that cash will be obsolete in the next
20 years (based on a survey by J.P. Morgan Chase). In each of Exercises 15-20, assume
that 8 consumers are randomly selected. Find the indicated probability.
X 15. Find the probability that exactly 6 of the selected consumers believe that cash will be obso-
lete in the next 20 years.
...
XE 16. Find the probability that at least 6 of the selected consumers believe that cash will be obso-
lete in the next 20 years.
XE 17. Find the probability that fewer than 3 of the selected consumers believe that cash will be
obsolete in the next 20 years.
XE 18. Find the probability that no more than 3 of the selected consumers believe that cash will be
obsolete in the next 20 years.
XE 19. Find the probability that none of the selected consumers believes that cash will be obsolete
in the next 20 years.
XE 20. Find the probability that at least one of the selected consumers believes that cash will be
obsolete in the next 20
years.
In Exercises 21-24, assume that when human resource managers are randomly selected, 65%
of them say that after submitting a résumé, job applicants should follow up within two weeks.
XE 21. If 10 human resource managers are randomly selected, find the probability that exactly 6 of
them say job applicants should follow up within two weeks.
XE 22. If 16 human resource managers are randomly selected, find the probability that exactly 12
of them say job applicants should follow up within two weeks.
XE 23. If 20 human resource managers are randomly selected, find the probability that at least 18
of them say job applicants should follow up within two weeks.
XE 24. If 14 human resource managers are randomly selected, find the probability that fewer than
3 of them say job applicants should follow up within two weeks.
In Exercises 25-28, find the probabilities and answer the questions.
XE 25. Whitus v. Georgia In the classic legal case of Whitus w. Georgia, a jury pool of 90 peo-
ple was supposed to be randomly selected from a population in which 27% were minorities.
Among the 90 people selected, 7 were minorities. Find the probability of getting 7 or fewer mi-
norities if the jury pool was randomly selected. Is the result of 7 minorities significantly low?
What does the result suggest about the jury selection process?
Extracted text: Cashless Society. 40% of consumers believe that cash will be obsolete in the next 20 years (based on a survey by J.P. Morgan Chase). In each of Exercises 15-20, assume that 8 consumers are randomly selected. Find the indicated probability. X 15. Find the probability that exactly 6 of the selected consumers believe that cash will be obso- lete in the next 20 years. ... XE 16. Find the probability that at least 6 of the selected consumers believe that cash will be obso- lete in the next 20 years. XE 17. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. XE 18. Find the probability that no more than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. XE 19. Find the probability that none of the selected consumers believes that cash will be obsolete in the next 20 years. XE 20. Find the probability that at least one of the selected consumers believes that cash will be obsolete in the next 20 years. In Exercises 21-24, assume that when human resource managers are randomly selected, 65% of them say that after submitting a résumé, job applicants should follow up within two weeks. XE 21. If 10 human resource managers are randomly selected, find the probability that exactly 6 of them say job applicants should follow up within two weeks. XE 22. If 16 human resource managers are randomly selected, find the probability that exactly 12 of them say job applicants should follow up within two weeks. XE 23. If 20 human resource managers are randomly selected, find the probability that at least 18 of them say job applicants should follow up within two weeks. XE 24. If 14 human resource managers are randomly selected, find the probability that fewer than 3 of them say job applicants should follow up within two weeks. In Exercises 25-28, find the probabilities and answer the questions. XE 25. Whitus v. Georgia In the classic legal case of Whitus w. Georgia, a jury pool of 90 peo- ple was supposed to be randomly selected from a population in which 27% were minorities. Among the 90 people selected, 7 were minorities. Find the probability of getting 7 or fewer mi- norities if the jury pool was randomly selected. Is the result of 7 minorities significantly low? What does the result suggest about the jury selection process?
Answered 114 days After Jun 05, 2022

Solution

Rajeswari answered on Sep 28 2022
64 Votes
111856 assignment
Let X be no of consumers who believe that cash will be obsolete in next 20 years.
Each consumer is independent of each other.
Hence X is Bin (8, 0.40)
P(X=r) = 8Cr (0.4)^r (0.6)^(8-r)
16. P(X≥6) =P(6)+P(7)+P(8)
=
=0.0498
18. P(X≤3) = P(1)+P(2)+P(3)=0.5941
20....
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