x c solved More than 96 0eometric oist bubon c x E GeometricDistribution c x x R

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x c solved More than 96 0eometric oist bubon c x E GeometricDistribution c x x Ricky Martin venter x Notes Math 1342 3 g 1 Midterm 1 www.webassign net/web/Student/Assgnment-Responses/submit?posa46&deps15019275; According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 161 people in Uganda. Let x the number of people who have access to electricity (a) What is the probability distribution for x? 0 x G(0.09) x a(o.09, 161) x G(161) x- B(161, o.09) (b) using the formulas, calculate the mean and standard deviation of x CEnter your mean to two decrnal places and round your standard deviation to four decimal places.) standard (c) use your calculator to find the probability that 15 people in the sample have access to electricity. (Round your answer to four decimal places.) (d) Find the probability that at most ten people in the sample have access to electricity. (Round your answer to four decimal places.) e) rind the probability that more than 25 people in the sample have access to electricity. (Round your answer to four decimal places.) View Previous Quesbon Question 48 al 50 View Next Question

Explanation / Answer

(a) right choice is B(161, 0.09)

here we use binomial distribution with parameter number of trials=n=161 and P(X)=p=9%=0.09, and appropriate symbol of binomial distribution is Binomial(n.p) or B(n,p)=B(161,0.09)

for Binomial distribution ,P(X=r)=nCrpr(1-p)n-r  

(b) mean=np=161*0.09=14.49

standard deviation=sqrt(np(1-p))=sqrt(161*0.09*(1-0.09))=3.6312

(c) P(X=15)=0.1065 =( using ms-excel command=BINOMDIST(15,161,0.09,0))

(d)P(X=atmost 10)=P(X<=10)=0.1335 (  using ms-excel command=BINOMDIST(10,161,0.09,1))

(e)P(X>=25)=1-P(X<25)=1-P(X<=24)=1-0.0048=0.9952

P(X<=24)=0.0048 ( using ms-excel command=BINOMDIST(24,161,0.09,1))

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