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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
The derivative by using the differentiation rules
Discuss the advantages of using the formulas, any difficulties in using them, and whether computers are used with them.
In a certain manufacturing process the probability of a type I defect is 0.14, the probability of a type II defect is 0.34, and the probability of having both types of defects is 0.04. Find the probability of having neither type of defect.
The one percent level of significance
Among the N = 18 doctors in a healthcare group, A=7 of them are board certified. A team of n= 4 doctors is going to be selected at random to staff a new clinic. Use X to represent the number of doctors selected into the team who are board certifie..
the angle of elevation to the top of the tower is twice the angle of elevation at a point 1120 feet from the base of the tower. You are to determine the height of the tower.
In the sequence of fractions {1/1, 2/1, 1/2, 3/1, 2/2, 1/3, 4/1, 3/2, 2/3, 1/4, 5/1, 4/2, 3/3, 2/4, 1/5, 6/1, ...} fractions equivalent to any given fraction occur many times. For example, fractions equivalent to 1/2 occur for the first two times ..
A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on the ground. When the angle of elevation is π/3, this angle is decreasing at a rate of π/6 rad/min. How fast is the plane traveling at that time? (Ro..
Use the leading coefficient test to determine the behavior of the function.
Explain, in complete sentences, whether or not the expression x2 - 121 fits one of the special patterns and, if so, which one. Explain how the polynomial is factored.
What is the inverse Laplace transform of (s+1)/((s+4)(s+5)(s+3))? Show work using partial fraction expansion and using Heavside method.
Two fire towers are 30km apart, tower A being due west of tower B. A fire is spotted from the towers, and the bearings from A and b are E 14 N and W 34 N, respectively. Find the distance d of the fire from the line segment AB.
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