A retailer of electronic equipment received six DVD players from the manufacturer. Three of the DVD...

A retailer of electronic equipment received six DVD players from the manufacturer. Three of the DVD players were damaged in the shipment. The retailer sold two DVD players to two customers. Consider the problem of calculating the probability that the customers receive damaged DVD players. [2] Can a binomial distribution be used for the solution of the above problem? Why or why not? [1] What kind of probability distribution can be used to solve this problem? [1] What is the probability that both customers received damaged DVD players? [1] What is the probability that only one of the two customers received a defective DVD player?

Solutions

Expert Solution

Can a binomial distribution be used for the solution of the above problem?

Here sampling is done without replacement and population size is also small so binomial distribution cannot be used.

---------------------------------------------------------------

What kind of probability distribution can be used to solve this problem?

Hyper geometric distribution

-----------------------------------------------

What is the probability that both customers received damaged DVD players?

Let X is a random variable shows the number of damaged players out of 2 sold. Here we need to find the probability that 2 out of 2 DVD players are damaged. The probability that both customers received damaged DVD players is

------------------------------------

What is the probability that only one of the two customers received a defective DVD player?

The probability that both customers received good DVD players is

By the complement rule the probability that only one of the two customers received a defective DVD player is

1 - P(X=0) - P(X=2) = 1 - 0.2 -0.2 = 0.6

orchestra answered 1 year ago

Next > < Previous

Related Solutions

An invoice for $5010 dated February 26th, covering merchandise received by the retailer from the manufacturer...

An invoice for $5010 dated February 26th, covering merchandise received by the retailer from the manufacturer March 19th, carries terms of 7/10 EOM, ROG, FOB retailer. The manufacturer paid the trucking company $172 to transport the merchandise. If the retailer pays the manufacturer on April 12, how much should be remitted? A buyer purchased 88 lamps at a list price of $264.96 each. The trade discounts were 36%, 23%, and 9% with terms of 1/10, n/30. The books were...

You have just received an order from an Internet retailer for some equipment you need for...

You have just received an order from an Internet retailer for some equipment you need for a business presentation. Unfortunately, some of the equipment is damaged. Write a letter to the retailer in which you explain the damage, express your dissatisfaction with the shipment, and describe what you want the retailer to do to fulfill your shipment. Develop a response that includes examples and evidence to support your ideas, and which clearly communicates the required message to your audience. Organize...

A manufacturer is considering purchasing parts from three different suppliers. The parts received from the suppliers...

A manufacturer is considering purchasing parts from three different suppliers. The parts received from the suppliers are classified as having a minor defect, having a major defect, or being good. Test results from samples of parts received from each of the three suppliers are shown below. Note that any test with these data is no longer a test of proportions for the three supplier populations because the categorical response variable has three outcomes: minor defect, major defect, and good. Supplier...

Grant Industries, a manufacturer of electronic parts, has recently received an invitation to bid on a...

Grant Industries, a manufacturer of electronic parts, has recently received an invitation to bid on a special order for 25,000 units of one of its most popular products. Grant currently manufactures 50,000 units of this product in its Loveland, Ohio, plant. The plant is operating at 50% capacity. There will be no marketing costs on the special order. The sales manager of Grant wants to set the bid at $14 because she is sure that Grant will get the business...

Norex Corporation is a manufacturer of electronic equipment. The large, diversified organization is decentralized and has...

Norex Corporation is a manufacturer of electronic equipment. The large, diversified organization is decentralized and has a number of different divisions. The components division makes electronic components that can be sold either internally to the equipment division or sold to outside customers. Currently, the components division is producing a tiny motor that is often used to run fans to cool equipment. The variable cost of making the motors is $10 per unit, the fixed cost is $5, and the market...

A manufacturer purchased $15,000 worth of equipment with a useful life of six years.

A manufacturer purchased $15,000 worth of equipment with a useful life of six years. Assuming 9% interest, the equivalent uniform annual cost of the equipment is _________.

A large retai lchain purchases a certain kind of electronic device from a manufacturer. The manufacturer...

A large retai lchain purchases a certain kind of electronic device from a manufacturer. The manufacturer indicates that the defective rate of the device is 3%. The inspector at the retailer randomly picks 100 items from a shipment. (a) What is the expected value of the number of defective electronic devices? (b) What is the variance of the number of defective electronic devices? (c) What is the standard deviation of the number of defective electronic devices?

Lindsay Electronics, a small manufacturer of electronic research equipment, has approximately 7,000 items in its inventory...

Lindsay Electronics, a small manufacturer of electronic research equipment, has approximately 7,000 items in its inventory and has hired Joan Blasco Paul to manage its inventory. Joan has determined that 11% of the items in inventory are A items, 37% are B items, and 52% are C items. She would like to set up a system in which all A items are counted monthly (every 19 working days), all B items are counted quarterly (every 61 working days), and all...

a. What is the present value (PV) of $70,000 received six years from now, assuming the...

a. What is the present value (PV) of $70,000 received six years from now, assuming the interest rate is 4% per year? a. $47,024 b. $45,500 c. $96,814 d. $55,322 b. Convex Industries has inventories of $212 million, current assets of $1.20 billion, and current liabilities of $528 million. What is its quick ratio? a. 1.87 b. 2.25 c.0.94 d.0.75

Joe Masters has received a job offer from a large wine retailer. His base salary will...

Joe Masters has received a job offer from a large wine retailer. His base salary will be $136,500. He will receive his first annual salary payment one year from the day he begins work. He will also get an immediate $50,000 bonus for joining the company. His salary will grow at 5 percent each year, starting after the first year. Mr. Masters is expected to work for 15 years. What is the present value of the offer if the discount...

Subjects