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Past data reveals that the graduation rate was 72% for the medical school at a university. If 10 medical students are randomly selected for that school,
A)Find the probability that only 4 of them will graduateB)Find the probability that at most one of them will graduateC)Find the expected number of students who graduate in such a group of 10
P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannualy, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year.
In a manufacturing process, the diameter of the steel rods is the product characteristic. A random sample of 25 steel rods is taken and sample mean is 8.88 cm.
If you select a random sample of 16 cups and are willing to have an α = 0.05 risk of committing a Type I error, compute the probability of a Type II error (β) if the population mean amount dispensed is actually:
If they must form an ethics subcommittee of 4 members, how many different subcommittees are possible?
A random sample of 58 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean? (Round your answer to four decimal places.)
The average price of a personal computer is 949 assuming that the prices are normally distributed with a standard deviation of 100 what is the price that corresponds to the least expensive 10%.
Let X1 and X2 denote the proportion of two different chemicals found in a sample mixture of chemicals and used as an insecticide. Suppose X1 and X2 have the joint probability density function given by:
The U.S.Census Bureau announced that the median sales price of new homes sold i April 2009 was $221,660, and the mean sales price waas $274,300. Assume that the standard deviation of the prices is $90,000.
A shipment of 250 netbooks contains 3 defective units. Determine how many ways a vending maching company can buy three of these units and receive a) no defective units b) all defective units c) at least one good unit.
The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures sqrt 6 m. Find the width and height.
A random sample of 20 single men was asked if they would welcome a woman taking the initiative in asking for a date. What is the probability that none of the men will say yes?
They are thinking of introducing a new flavour, maple-marshmallow Frumpies, and want to know whether children will prefer the new flavour to the old one. Design a completely randomized experiment to investigate this question.
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