Marie distributes toys for toddlers. She makes visits to households and gives away one toy only...

Marie distributes toys for toddlers. She makes visits to households and gives away one toy only on visits for which the door is answered and a toddler is in residence. On any visit, the probability of the door being answered is 3/4, and the probability that there is a toddler in residence is 1/3. Assume that the events “Door answered" and “Toddler in residence" are independent and also that events related to different households are independent.

What is the probability that she has not distributed any toys by the end of her second visit?

What is the probability that she gives away the first toy on her fourth visit?

Given that she has given away her second toy on her fifth visit, what is the conditional probability that she will give away her third toy on her eighth visit?

What is the probability that she will give away the second toy on her fourth visit?

Given that she has not given away her second toy by her third visit, what is the conditional probability that she will give away her second toy on her fifth visit?

We will say that Marie “needs a new supply"" immediately after the visit on which she gives away her last toy. If she starts out with three toys, what is the probability that she completes at least five visits before she needs a new supply?

If she starts out with exactly six toys, what is the expected value of the number of houses with toddlers that Marie visits without leaving any toys (because the door was not answered) before she needs a new supply?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck,...

The Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle. Plastic used in one unit of each is 1.5, 2.0 and 1.0 pounds, respectively. Rubber for one unit of each toy is 0.5, 0.5, and 1.0 pounds, respectively. Also, each tank uses 0.3 pounds of metal and the truck uses 0.6 pounds of metal during production. The average weekly availability for plastic is 16,000 pounds, 9,000 pounds of metal, and...

A toy manufacturer makes its own wind-up motors, which are then put into its toys While the toy manufacturing process is continuous

A toy manufacturer makes its own wind-up motors, which are then put into its toys While the toy manufacturing process is continuous, the motors are intermittent flow. Data on the manufacture of the motors appears below. Annual demand (D)-50,000 units Daily subassembly production rate = 1,000 Setup cost (S) = $85 per batch Daily subassembly usage rate = 200Carrying cost = $.20 per unit per year 1. To minimize cost, how large should each batch of subassemblies be? 2. What is the average inventory...

Tempting Toys manufactures and distributes a number of products to retailers. One of these products, Playclay,...

Tempting Toys manufactures and distributes a number of products to retailers. One of these products, Playclay, requires two pounds of material A135 in the manufacture of each unit. The company is now planning raw materials needs for the third quarter—July, August, and September. Peak sales of Playclay occur in the third quarter of each year. To keep production and shipments moving smoothly, the company has the following inventory requirements: a. The finished goods inventory on hand at the end...

Part One: Gordon, Inc. makes toys and projects production to be 6100, 5900, 6000, and 5500...

Part One: Gordon, Inc. makes toys and projects production to be 6100, 5900, 6000, and 5500 for the next four quarters. Direct materials are $8 per kit. Beginning Raw Material Inventory is $20,000 and the company desires to end each quarter with 25% of the material needed for the next two quarter's production. Direct Materials needed for production in the First Quarter of the following year is $45,000. Gordon desires a balance of $25,000 in Raw Materials Inventory at the...

Phase 1 ; not going to go into detials but only one person suffered seizures. she...

Phase 1 ; not going to go into detials but only one person suffered seizures. she was a femaile and consumed the correct dose. The Phase II study: Placebo-Controlled: 50 patients recieve the placebo (25 f and 25 m) Actualy Drug: 25 patients recieve the drug (3 f and 22 m) beneficence autonomy justice veracity fidelity avoidance of killing. what ethical principles are being violated and why? i want to touch on all of them, but which ones are most...

The following standards for variable overhead have been established for a company that makes only one...

The following standards for variable overhead have been established for a company that makes only one product: Standard hours per unit of output: 5.5 hours Standard variable overhead rate: $14.00 per hour The following data pertain to operations for the last month: Actual hours: 9,200 hours Actual total variable overhead cost: $125,100 Actual output: 1,660 units a. What is the variable overhead rate variance for the month? (Input the amount as a positive value. Leave no cells blank - be...

(a) Tangi loves Unam shandy, which she makes by combining one glass of oshikandela and two...

(a) Tangi loves Unam shandy, which she makes by combining one glass of oshikandela and two scoops of ice cream. Pandu is on a diet that assigns points to food and drinks. One glass of oshikandela is one point and one scoop of ice cream is one point. She can consume any combination of oshikandela and ice cream as long as the total number of points is tw o. (i) What king of goods are oshikandela and ice cream for...

1. Kaylia is a finance major who has only taken one accounting course. She asserts that...

1. Kaylia is a finance major who has only taken one accounting course. She asserts that pension remeasurements, like many other accounting adjustments, are recorded in net income. Is Kaylia correct? Explain.

ELT Corporation, which makes only one product, Yester, has the following information available for the coming...

ELT Corporation, which makes only one product, Yester, has the following information available for the coming year. ELT expects sales to be 27,000 units at $32 per unit. The current inventory of Yester is 3,500 units. ELT wants an ending inventory of 4,200 units. Each unit of Yester takes two units of component K. Component K is estimated to cost $9 per unit. Current inventory of K is 3,900 units. ELT wants 5,800 units of K on hand at the...

Mocha International Company [MIC], makes and sells only one product, Product TW. The maximum capacity is...

Mocha International Company [MIC], makes and sells only one product, Product TW. The maximum capacity is 50,000 units. The company is in the process of preparing its Selling and Administrative Expense Budget for the last half of the year. The following budget data are available: Variable Cost Per Unit Sold Monthly Fixed Cost Sales Commissions $1.70 Shipping $1.10 Advertising $0.20 $15,000 Executive Salaries - $45,000 Depreciation on Office Equipment - $11,000 Other – all cash/payables $0.20 $18,000 Estimated Bad debts...

Subjects