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Question: The position of an aircraft relative to an observer on the ground is estimated by measuring its distance r from the observer and the angle θ that the line of ed Values sight from the observer to the aircraft makes with the horizontal. Suppose that the measurements, denoted by R and , are subject to random errors and are independent of each other. The altitude of the aircraft is then estimated to be Y = R sin .
a. Find an approximate expression for the variance of Y .
b. For given r, at what value of θ is the estimated altitude most variable?
Derive an expres- sion (involving p) for the probability that exactly one tag is lost given that at most one is lost ( Ear Tag Loss in Red Foxes, J. Wildlife Manag., 1976: 164-167). (Hint: Draw a tree diagram in which the two initial branches refe..
Say you think your positive pairs trade returns are due to pairs trades you made on small stocks (measured by market capitalization). Describe how would you test this hypothesis?
A doctor wishes to develop an interval estimate for scores on a patient questionnaire. She wants the interval to be within 5 points with a 99% confidence level.
Describe the format of a linear regression equation for estimating the dollar amount of the order on the basis of the other variables described above. If any qualitative variables are used, indicate the strategy for coding them.
Formulate and solve linear program for determining how many copies should be assigned to each printing firm to minimize the total cost of obtaining 75,000 acceptable-quality reports?
A sample of 100 students at a university was asked how many hours a week they spent studying and how many they spent socializing.
(a) Formulate this problem as a Markov decision process by identifying the states, the decisions, and the Cik. Identify all the (stationary deterministic) policies.
Two automatic dispensing machines are being considered for use in a fast-food chain. The first dispenses an amount of liquid that has a normal distribution with a mean of 11.9 ounces and a standard deviation of 0.07 ounces.
the following data were collected for a test of linear correlation and spearmans rank correlation was used2.2 3.3 3.3
At the 5% level of significance, is there evidence of a difference among the mean access read times for the three files sizes?
two companies market new batteries targeted at owners of personal music players. duratunes claims a mean battery life
A company's balance sheet shows the account, Notes Payable. This resulted from a loan made by the company's bank. If the end-of-year balance in the notes payable account exceeds the beginning-of-year balance by $5,000, this is shown on the cash fl..
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