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?

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?

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?

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?