Quiz 16&17

At a warehouse sale, 100 customers are invited to choose one of 100 unopened, identical boxes, each containing one item. Five boxes contain $700 flat-screen television sets, 25 boxes contain $540 smartphones, and the remaining boxes contain $260 cameras. What should a customer be willing to pay to participate in the sale?

• 1. $260

• 1. $352

• 1. $500

• 1. $540

• 1. $699

An auto dealer offers discounts averaging $2450 with a standard deviation of $575. If 50 autos are sold during one month, what is the expected value and standard deviation for the total discounts given?

• 1. E(Total) = $17,324       SD(Total) = $170

• 1. E(Total) = $17,324       SD(Total) = $4066

• 1. E(Total) = $122,500    SD(Total) = $170

• 1. E(Total) = $122,500    SD(Total) = $4066

• 1. E(Total) = $122,500    SD(Total) = $28,750

Science majors in college pay an average of $650 per year for books with a standard deviation of $130, whereas English majors pay an average of $465 per year for books with a standard deviation of $90. What is the mean difference and standard deviation between the amounts paid for books by science and English majors?

• 1. E(Diff) = $92.50      SD(Diff) = $15

• 1. E(Diff) = $185          SD(Diff) = $110

• 1. E(Diff) = $185          SD(Diff) = $158

• 1. E(Diff) = $185          SD(Diff) = $220

• 1. E(Diff) = $557.50    SD(Diff) = $110

  
  

The auditor working for a veterinary clinic calculates that the mean annual cost of medical care for dogs is $98 with a standard deviation of $25 and that the mean annual cost of medical care for pets is $212 with an average deviation of $39 for owners who have one dog and one cat. Assuming expenses for dogs and cats are independent for those owning both a dog and a cat, what is the mean annual cost of medical care for cats, and what is the standard deviation?

• 1. E(Cats) = $114     SD(Cats) = $14

• 1. E(Cats) = $114     SD(Cats) = $46

• 1. E(Cats) = $114     SD(Cats) = $30

• 1. E(Cats) = $155     SD(Cats) = $32

• 1. E(Cats) = $188    SD(Cats) = $30

Boxes of 50 donut holes weigh an average of 16.0 ounces with a standard deviation of 0.245 ounces. If the empty boxes alone weigh an average of 1.0 ounce with a standard deviation of 0.2 ounces, what are the mean and standard deviation of donut hole weights?

• 1. E(Donut hole) = 0.3 oz    SD(Donut hole) = 0.0063 oz

• 1. E(Donut hole) = 0.3 oz    SD(Donut hole) = 0.02 oz

• 1. E(Donut hole) = 0.3 oz    SD(Donut hole) = 0.142 oz

• 1. E(Donut hole) = 15 oz      SD(Donut hole) = 0.142 oz

• 1. E(Donut hole) = 15 oz      SD(Donut hole) = 0.445 oz

Suppose you are one of 7.5 million people who send in their name for a drawing with 1 top prize of $1 million, 5 second-place prizes of $10,000, and 20 third-place prizes of $100. Is it worth the $0.55 postage it costs you to send in your name?

• 
• 1. No, because your expected winnings are only $0.14.

• 
• 1. No, because 1,052,000 < 7,500,000.

• 

The two most popular women’s spring semester sports at a particular school are softball and lacrosse. The softball team plays 0, 1, or 2 days a week with probabilities 0.2, 0.5, and 0.3, respectively.

1. What is the mean number of games played by the softball team per week?

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The two most popular women’s spring semester sports at a particular school are softball and lacrosse. The softball team plays 0, 1, or 2 days a week with probabilities 0.2, 0.5, and 0.3, respectively.

1. What is the standard deviation for number of games played by the softball team per week?

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The two most popular women’s spring semester sports at a particular school are softball and lacrosse. The softball team plays 0, 1, or 2 days a week with probabilities 0.2, 0.5, and 0.3, respectively.

The lacrosse team plays a mean of 1.4 days per week with a standard deviation of 0.6.

1. What is the mean total number of softball and lacrosse games played per week?

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The two most popular women’s spring semester sports at a particular school are softball and lacrosse. The softball team plays 0, 1, or 2 days a week with probabilities 0.2, 0.5, and 0.3, respectively.

The lacrosse team plays a mean of 1.4 days per week with a standard deviation of 0.6.

1. Assuming independence, what is the standard deviation for the total number of softball and lacrosse games played per week?

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