# If an employee works for either a large or midsize

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If an employee works for either a large or midsize company, what is the probability they have health benefits provided by their employer? (d)If an employee has health benefits provided by their employer, what is the probability they do notwork for a small company? 6.A restaurant with only 10 tables will accept 11 dinner reservations for the 7:30 pm seating because they know that only 80% actually show up for dinner. Suppose they accept 11 dinner reservations for the 7:30 pm seating: (a)What is the probability that they will nothave enough tables for the 7:30 pm seating? (b)Suppose that you and some friends show up without a dinner reservation. What is the probability you will be able to get a table at the 7:30 pm seating? 7.A public opinion poll asked 1,200 Canadians whether they support increasing the Canadian minimum wage to \$15 per hour. The results are cross-classified by income in the table below. Annual Income OpinionBelow \$20k \$20k to \$100k Above \$100k Total Supports 103 497 156 Against 22 250 100 Unsure 10 43 19 Total 135 790 275 1,200 (a)Overall, what percentage of people are notagainst increasing the minimum wage? (b)In the below \$20,000 group, what percentage supports increasing the minimum wage? (c)Among those with an income of\$20,000 or higher, what percentage are against increasing the minimum wage? (d)Among those who are either against ornot sure about increasing the minimum wage, what percentage earns \$100,000 or less? 756 372 72
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%.