University-X17 week 4: Homework X)0 Do Homework . Lynnette x ca Secure https//ww

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University-X17 week 4: Homework X)0 Do Homework . Lynnette x ca Secure https//www.mathxl.com/student/PlayerHomework.aspx?homeworkld-45619744 8&questionld; 8&flushed-false;&cld-47632768;&back-DoAssign; %)hew%3dhome.." Applied Homework: Week 4 Homework 40 pts Save Score: 1.67 of 5 pts 8 of 13 (9 complete) HW Score: 54.17%, 21.67 of 40 pts : 42.15 Question Help I ans. You randomly select 10 men and ask each if he considers himself a professional basebal fan Find the probability that the number who consider themselves basebal fans is (a) exactly five, b) at least six and (c) less than four (a) P(5)-0244 (Round to three decimal places as needed) b) Px 6)-l (Round to three decimal places as needed) Pleage an-swer a) exacty 5 b)least 6 Enter your answer in the answer box and then click Check Answer part remaining C week 4 4ab Pr.mpah Show all × De 1:54 PM 11/18/2017 Type here to search **

Explanation / Answer

Probability that a mean considers himself as baseball fan i.e p = 0.48 or 48%

no of men selected i.e n = 10

x follows Binomial distribution with n = 10 and p = 0.48

P(x = r) = nCrpr(1-p)n-r

a)

P(x = 5) = 10C50.485(1-0.48)10-5 = 0.244

b)

P(x 6) = P(x = 6) + P(x = 7) +P(x = 8) +P(x = 9) +P(x = 10)

= 10C60.486(1-0.48)10-6+10C70.487(1-0.48)10-7+10C80.488(1-0.48)10-8+10C90.489(1-0.48)10-9+10C100.4810

=0.329

c)

P(x < 4) = P(0)+P(1)+P(2)+P(3)

= 10C00.480(1-0.48)10-0+10C10.481(1-0.48)10-1+10C20.482(1-0.48)10-2+10C30.483(1-0.48)10-3

= 0.207

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