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Question: Mean and SD of the number of matches. There are n balls labeled 1 through n, and n boxes labeled 1 through n. The tables are distributed randomly into the boxes, one in each box, so that all n permutations are equally likely. say that a match occurs at place i if the ball labeled i happens to fall in the box labeled i Let M be the total number of matches.
a) Find E(M).
b) find SD(M).
c) For very large n, what do you think is the approximate distribution of M? Give an intuitive explanation for your answer. Check that your answer makes sense in view of your answers to a) and b).
Discuss the importance of efficiency and effectiveness as key managerial interests, and analyze the primary conditions for each in healthcare
Construct a 95% confidence interval for the population proportion of adult Americans who feel that crime is the main problem.
Remote operation plays an important role in hostile environments, such as those in nuclear or high temperature environments and in deep space.
10 cobalts are ramdomly selected and the miles per gallon for each car are recorded. What is the probability that the mean miles per gallon exceeds 34 miles per gallon?
The game show Deal or No Deal involves a series of opportunities for the contestant to either accept an amount of money from the show's banker or to decline.
In about 95% of all randomly selected samples of n = 64 instant lottery tickets, the proportion of tickets that will be money winners.
Develop a scatter diagram with price as the independent variable and what does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
Suppose that the waiting time for a bus, in minutes, has the uniform in (0, 10) distribution. In five months a person catches the bus 120 times.
i) Use the CLT to construct a con?dence interval for m with approximate con?dence coef?cient 1 - a; ii) What does this interval become if n = 100, s = 1 and a = 0.05? iii) Refer to part (i) and determine n so that the length of the con?dence interval..
Assume that a patient is believed to have one of two diseases, denoted by D1 and D2 with P(D1)=0.40 and P(D2)=0.60 and that medical research has determined the probability associated with each symptom that may accompany the diseases.
If the airline books 76 people on a flight for which the maximum number is 74, what is the probability that the number of people who show up will exceed the capacity of the plane?
suppose x the number of flaws in a roll of polyethylene insulated cable follows a poisson process where lambda is 1.1
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