Question

2. (8 marks) Netflix is a large subscription-based internet streaming service for movies and television shows. Suppose the proportion of Saskatchewanians who have a Netflix subscription is 0.65. Suppose the population of Aberdeen, Saskatchewan is 650 people. a) [3 marks] What is the probability that more than 70% of people in Aberdeen have a Netflix subscription? b) [3 marks] What is the probability that between 65% and 71% of people in Aberdeen have a Netflix subscription? c) [2 marks] Assume each person in Aberdeen is independent. How many people in Aberdeen do you expect to have a Netflix subscription? Round your answer to the nearest whole number. If you need to round a 5, round down. For example, if you see 1.5, round it down to 1. 3. [2 marks] Suppose the company from question 1 is interested in testing the hypothesis that the population mean weight is more than 92g. State the appropriate null and alternative hypotheses.

Answer 1

Are The given Probability of having a Netflix Lubscription is 0.65. Also, there are 650 people in Aberdeen. Now, Let x. be the r.v. for same. n Bin (650,0.00 (a PEx> 70% of 650) - PEx > 455) = 1-PEX < 455) = 1 - 4 650 (0.65 (0.35550-2 = 0.0030 (6) P{ 65% of 650 <x< 71% of 6503 => PE 422.5 <x< 46115) - 14423 € x 5461)= PEx {461) - P(+2422] - 42.1505 (0.65% 0.253650-80 6161 cao = 0.999 – 0.5314 - 0.468 110 As xu Bin ( 650,0.65) as E(X) = 650x0.65 [As Ea= np when ? xu Bin (A,P) EW = 422.5 so, exlected number of people have subscrittions are 422, All probabilities are calculated using binomial calculator