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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?
Assume the arrival of these emails is approximated by the Poisson distribution.
in terms of hypotheses one of the major differences between the t-test and anova is thata. ha is never defined with
Construct a scatter diagram of the data points and plot the least squares regression line on it. Find the least squares regression line. Show all of your work
Probability that the entire batch will be rejected?
Determine the probability that Mexican American male in the 20 -74 age range has serum cholesterol value greater than 240 mg/dl.
A company uses the formula C(x) = 0.02x^2 - 3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum?
The standard screening test for Down's syndrome is based on a combination of maternal age and the level of serum alpha fetoprotein. Using the test 80% of Down's syndrome cases can be identified while 5% of normals are detected as positives.
the amount of money deposited into a certain vending machine on a daily basis has approximately a normal distribution
consider the experiment of drawing two cards from a shuffled deck and then putting them back. what is the probability
the qualifying speed for a championship race is 145.65 mph and the standard deviation is 9.45 mph. only drivers who
Scores range from 0 to 200. The mean score for students who live on the west coast is about 115. Construct a 90% confidence interval for the unknown mean of the students on the east coast.
a companys manufacturing process uses 500 gallons of water at a time. a scrubbing machine then removes most of a
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