The number of missing items in a certain location call it x, Ask an Expert

Statistics

The number of missing items in a certain location, call it X, is a Poisson random variable with mean λ. When searching the location, each item will independently be found after an exponentially distributed time with rate μ. A reward of R is received for each item found, and a searching cost of C per unit of search time is incurred. Suppose that you search for a ?xed time t and then stop.

(a) Find your total expected return.

(b) Find the value of t that maximizes the total expected return.

(c) The policy of searching for a ?xed time is a static policy. Would a dynamic policy, which allows the decision as to whether to stop at each time t, depend on the number already found by t be bene?cial?

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91721598

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

How would i calculate this to get the probability if a

How would I calculate this to get the probability. If a person bought 1 share of Google stock within the last year, what is the probability that the stock on that day closed at less than the mean for that year? Hint: You ...

1the r-squared of a linear regression model is equal to the

1)The R-squared of a linear regression model is equal to the proportion of the variance of the target explained by a linear regression model. 2). The R-squared of a linear regression model is equal to the proportion of t ...

Suppose you believe that johnson companys stock price is

Suppose you believe that Johnson Company's stock price is going to increase from its current level of $22.50 sometime during the next 6 months. For $250.30 you can buy a 6-month call option giving you the right to buy 10 ...

Assume that the car lot contains 25 percent porches 35

Assume that the car lot contains 25 percent Porches, 35 percent BMWs, and 40 percent Volvos. Of the Porches, 20 percent have navigation systems, 90 percent of the BMWs have navigation systems, and 70 percent of the Volvo ...

Approximately once a month cars are shipped from rotterdam

Approximately once a month cars are shipped from Rotterdam, Holland to Lagos, Nigeria. The past data collection indicates that the weight of a car is normally distributed with the mean of 1,070 kg and the standard devia ...

Your company doesnt face any taxes and has 760 million in

Your company doesn't face any taxes and has $760 million in assets, currently financed entirely with equity. Equity is worth $51.00 per share, and book value of equity is equal to market value of equity. Also, let's assu ...

A firm evaluates all of its projects by applying the irr

A firm evaluates all of its projects by applying the IRR rule. Year Cash Flow 0 -$ 153,000 1 78,000 2 67,000 3 49,000 What is the project's IRR? If the required return is 11 percent, should the firm accept the project? Y ...

1 you roll a fair four-sided die twice with sides numbered

1. You roll a fair four-sided die twice, with sides numbered 1,2,3 & 4, shaking it well each time before rolling. Let A be the event that your rst role is strictly less than 3 and B be the event that your second role is ...

Suppose that the weight of all navel oranges is normally

Suppose that the weight of all navel oranges is normally distributed with mean of 8 ounces, if we know that the percentage of oranges that weigh less than 8.7 ounces is 68% find the standard deviation?

The number of defective items produced by a machine in a

The number of defective items produced by a machine in a large factory follows a Poisson distribution with a rate of λ=1.5 per day. What is the probabilityThe machine produces exactly zero defective items on exactly two ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert