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A drug is assumed to be effiective with an unknown probability p.
To estimate p the drug is given to n patients. It is found to be effiective for m patients.
The method of maximum likelihood for estimating p states that we should choose the value for p that gives the highest probability of getting what we got on the experiment.
Assuming that the experiment can be considered as a Bernoulli trials process with probability p for success, show that the maximum likelihood estimate for p is the proportion m/n of successe
Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of television thefts as a function of time in months.
If local mortgage rates are 9.5%/year compounded monthly for a conventional 30-yr mortgage, what is the price range of houses they should consider? (Round your answers to the nearest cent.)
A bowl is shaped like a hemisphere with diameter 36 cm. A ball with diameter 4 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the bal..
Use the Gauss-Jordan Method of Computing Inverses to find the inverse and then to solve the system of linear equations.
Gold temperatures. Gold stays solid at Fahrenheit temperatures below 1945.4°. Determine (in terms of an inequality) those Celsius temperatures for which gold stays solid.
A rectangular pool 18 m by 11 m is being filled at the rate of .8m^3/min how fast is the height of the water rising?
The cost per square inch of constructing the metal top and bottom is twice the cost per square inch of constructing the cardboard side. What are the dimensions of the least expensive can?
A colony of bacteria increases according to the law of uninhibited growth (exponentially). How long will it take for the size of the colony to triple?
If a 90% confidence interval for the true mean wingspan for all dragonflies is calculated, do you expect this interval be wider or narrower than the interval obtained in part (a)? Why?
Let v1 and v2 be vectors in R^n. Show that (prove) the set of all vectors w, an element of R^n such that w is orthogonal to both v1 and v2, is a subspace of R^n.
Explain, in your own words, the procedure for factoring polynomials. How is it different than FOIL? Give an example of factoring a trinomial, such as found in problems.
at what value of t is the temperature changing the fastest?
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