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The distribution of brood size X (number of young in a nest) of a certain species of bird is given as follows:
Brood Size
X
P (X = x)
1
0.082
2
0.108
3
0.378
4
0.189
5
0.243
Consider a random sample of size n from an exponential distribution, Xi ~ EXP(1,eta). a) Show that Q = X1:n - eta is a pivotal quantity and find its distribution.
What is the probability of her making 97 or more free throws in 118 trials? Round your standard normal variable to two decimal places before using the table of values?
Many retail stores offer their own credit cards. At the time of the credit application the customer is given a 10 percent discount on the purchase.
The simple coefficient of determination is the proportion of total variation explained by the regression line.
Suppose that nine additional firms will be added to the bankruptcy rolls during the next quarter. How many of those failures are likely to be attribute to fraud?
Researchers routinely choose an -level of 0.05 for testing their hypotheses. What are some experiments for which you might want a lower -level (e.g. 0.01)?
Calculate the sample statistic and standard error you will use to create the test statistic.
State the hypothesis test (with the formula of test statistic) could be used to see if the show-up ratio of people booked tickets is larger than 0.7.
Picking numbers at random I pick two numbers uniformly at random from {1; 2; : : : ; 6n}, with replacement. What is the probability that both numbers choose are divisible by 2?
An error of .01 in the computation of the short interest rate, approximately what error do you expect to make in the computation of the value of the portfolio?
Suppose we wish to conduct a survey of adult US voters about whether or not they intend to vote for an incumbent in congress in the next election. Suppose that we survey 1000 people and 230 say they will.
What is the 95% Confidence Interval for the true population slope between Wins and Saves and what is the standard error of the estimate and what are its units?
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