Question

5 According to The World Bank, only 9% ofthe population of Uganda had access to electricity as of 2009. Suppose we randomly sample 175 people in Uganda. Let X = the number of people who have access to electricity What is the probability distribution for X? Calculate the mean and standard deviation of X Based only on your results from part (b), is it unusual to get only 7 people out of this sample who have access to electricity? Why or why not? d. а. b. с. Find the probability that 20 people in the sample have access to electricity Find the probability that more than 20 people in the sample have access to electricity. Find the probability that at most ten people in the sample have access to electricity. Based on the results from part (f), is it unusual to get at most ten people in the sample have access to electricity? Why or why not? е, f. g

Answer 1

Page no 1 Given that Bank only of the population of Ugand at 200g According P 009 had The World to O Y electricity to as access 175 X The number people who have access electricity to aProbability distubution df with Binomial is PE0.09 & n =175 Bin (0.0g, 175 We know if Xn Bin(n=175 , P-o og mean = 17.5 X 0 0g 15 75 Var npq 175 X 0 og X(I-0og 14.33 SD 3.785 Vay 1 175 7 PCX = 7 ) 175-7 0 04 X (1 009) 7 O.0055 we that Con it say is unusual to get only hava peaple electricity 7 out this whD 175 to access SHOT ON REDMI 7 2019/6/28 07:28 AL DUAL CAMERANEET Knowledge wealth

Ρagen0. Ζ People fhe samp le have 20 in access to electricity PLX=20) 175 175-2 D 20 (1-009) (0 og) 20 P(X = 2o) O.0525 PMore have people electricity sample the than in 20 to access n m C-P) m P( X 2o C 1g where m-0,1, 2,- n = 175 PCX 20) 0.1603 people in electricity) the Most sample have 10 to access 175-M P(X10) 775 Σ m P-P m O SHOT ON REDMI 7 2019/6/28 07 29 AI DUAL CAMERA O 0 76

Subject Tutorial No Date no.3 Page 9 From part f P(X10) we get O O76 hence we can say Ehat PCX =10) <0.076 It is unusual to get have at most 1O people in electricity the sample to access This directly Pollou be Conclude can as 175 PEX =10) (-0.04) O 0g T91 O.0347 Thank You I SatisPied with my If yau Please like are it ans wers SHOT ON REDMI 7 ALDUAL CAMERA. 2019/6/28 07:29 NAVISEEI