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Suppose that Y1, Y2, Y3, and Y4 have a multinomial distribution with n trials and probabilities p1, p2, p3, and p4 for the four cells. Just as in the binomial case, any linear combination of Y1, Y2, Y3, and Y4 will be approximately normally distributed for large n. a) Determine the variance of Y1-Y2. [Hint: Recall that the random variables Yi are dependent.] b) A study of attitudes among residents of Florida with regard to policies for handling nuisance alligators in urban areas showed the following. Among 500 people sampled and presented with four management choices, 6% said the alligators should be completely protected, 16% said they should be destroyed by wildlife officers, 52% said they should be relocated live, and 26% said that a regulated commercial harvest should be allowed. Estimate the difference between the population proportion favoring complete protection and the population proportion favoring destruction by wildlife officers. Use a confidence coefficient of .95.
A simple pulley with the given radius used to lift heavy objects is positioned 10 feet above ground level. Given that the pulley rotates theta degrees, determine the height to which the object is lifted. a) r=4 in, theta=720 degrees b) r=2 ft, the..
How many pints of each of the two existing types of drink must be used to make 40 pints of a mixture that 80% is pure fruit juice?
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Expected Value : key informaiton, After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $20 million if successful (probability .4) and loose $3 million if not
Make a confidence interval at the 95 percent level
The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 382 square centimeters, find the dimensions of the poster with the smallest area.
nbspq nbsp nbsp nbsp nbspconsider the following lppnbspa nbsp nbsp nbsp nbspsolve using simplex method.nbspb nbsp nbsp
After spending $4000 for tables and $2200 for chairs, a convention center manager finds that 20% of his original budget remains. Find the amount that remains. Round to the nearest dollar.
How much money did Bob initially deposit into each account? Solve the equation.
1. consider the following data measured in a sample of n25 undergraduates in an on-campus survey of health behaviors.
The dimensions of a closed rectangular box are measured as 86 cm, 61 cm, and 19 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
Find the multiple integral under given condition using cylindrical coordinate - Determine the triple integral
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