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Question

Secure https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkid=443751932&questionld-6;&fl; false&cld-46556; Math 1324 Math for Business- Fall 2017 / DE/CRN 37923/SS Homework: Homework 9.4 Score: 0 of 1 pt X) Social Sci 9.4.1 lor 10 (10 complete) 10 4% of the population is 65 or older. Find the probability that the following number of persons selected at random from 20 people are 65 or older The probability that all are 65 or older is Type an integer or decimal rounded to the nearest thousandth as needed ) Enter your answer in the answer box and then click Check Answer part remaini

Explanation / Answer

Ans:

1)

Binomial distribution with n=20,p=0.104

P(all are 65 or older)=P(x=20)=0.10420=0

2)

P(none)=P(x=0)=20C0*0.1040*(1-0.104)20=0.89620=0.111

3)

Binomial distribution with n=10,p=0.08

P(x>=3)=1-P(x<=2)=1-10C0*0.08^0*0.92^10-10C1*0.08^1*0.92^9-10C2-0.08^2*0.9^28

=1-0.434-0.378-0.148

=1-0.960=0.040

or using excel function:

P(x>=3)=1-P(x<=2)=1-BINOMDIST(2,10,0.08,TRUE)=0.040

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