Question

n #7(25 marks) ) A sample of 64 elements was randomly extracted from a population. This sample's mean was 240 units and its standard deviation was 14 units a) Develop the 80% confidence interval for the unknown population mean, (2) a) Develop the 99% confidence interval for the unknown population mean. (2) b) What is the obvious difference in these two confidence intervals? (1) i) At the World Championship Dart contest, bets were being placed on the accuracy of the contestants. One of the braggarts said his accuracy was only 80% but he wanted to play with the "Big Boys". So they gave him three darts and the object of the betting contest was to see how many of these three darts he could stuff into the Bull's Eye. So if his accuracy was only 80%, then determine from first principles (not using the Binominal chart or the Binominal formula but using the Union, Complement, Intersection and Combination rules) what would be the betting line (probabilities) for the following scenarios. a) What is the probability that he could get all three darts in the Bull's eye? (1) b) What is the probability that he could get two of the three darts in the Bull's eye? (This is the more interesting one... (1) What is the probability that he could get one of the three darts in the Bull's eye? (Amost the same thought process as part (b).... (1) c) d) What is the probability that none of his darts found the Bull's eye? (1) e) What is the probability that at least one of his darts found the Bull's eye? (1) (You can check the Binominal chart (next page) to see if your answers agree.) O Ronald Bell January 2019 Page 21 Assignment #1: HSLC 3800 Winter 2019

I'm not sure hwo to answer question i. and ii.

Answer 1