OPMT 1130 Myra Andrews, Judy Li Business Statistics Winter 2018 Pg 3 of 11 8.TransAlta, an Alberta gas company, has existing gas reserves that are being continuously depleted. They want to explore new sites for natural gas, as they currently have millions of hectares of undeveloped potential natural gas sites. The site they are currently considering exploring has an estimated volume of natural gas, in thousand cubic metres as shown below: Volume (in 1,000 cubic metres)Probability 2,000 0.20 2,800 0.50 4,000 0.30 (a)Calculate the expected volume of natural gas.(in 1,000 cubic metres) (b)When they drill at a site, they must decide what sort of drilling approach to employ. Conventional drilling approach:Using the conventional drilling approach, 60% of the natural gas at the site can be extracted. The cost for this drilling approach is $150,000. Advanced drilling approach: Using the advanced drilling approach, 90% of the natural gas at the site can be extracted. The cost for this drilling approach is $225,000. TransAlta anticipates they can sell the natural gas for $130 per 1,000 cubic metres. Calculate the total expected profit for each drilling approach. 9.Job applicants who apply to work at the Surrey Taxation Centre are given an aptitude test. The test scores are normally distributed, with a mean of 76 and a standard deviation of 8. (a)What percentage of applicants got 90 or higher on the test? (b)What percentage of applicants got between 76 and 90 on the test? (c)What percentage of applicants got between 40 and 90 on the test? (d)If 149 applicants got 80 or higher on the test, about how many people applied? (e)To be eligible to work at the Surrey Taxation Centre you must score in the top 12%.