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Question: Let N denote the number of children in a randomly picked family. Suppose N has geometric distribution:
P(N = n ) = (1/3) (2/3)n-1 (n = 1, 2, 3, . .)
And suppose each child is equally likely to be male or female. Let X be the number of male children and Y the number of female children, in a randomly picked family:
a) Find the joint distribution of (X, Y).
b) Given Y = 0, what is the most likely value of X?
c) What is the conditional expectation of X given Y = 0?
A 95% confidence interval is not so much a statement about any particular interval, such as (79.3, 80.7), but pertains to what would happen if a very large number of like intervals were to be constructed. How are confidence intervals calculated
a. Twenty two subjects are each tested on a simple reaction time task and on a choice reaction time Task.
In a sample of 855 bartenders, 48% heard complaints from persons about work. If the margin of error was 4.4%, what was the confidence level that was used?
a market research survey is available for no cost. using a decision tree analysis it is found that the expected value
The production of a chemical compound requires a curation period of 5.5 hours +/-.5 hours, a speed of 130 rpm +/- 20 rpm to obtain an acceptable product. If we want to know with a 95% confidence level, if these variables affect the production yiel..
(a) A floatdcl can be represented as either f or float. (That is, a more Java-like declaration may be used.)
Identify two popular multivitamin formulas and list the ingredients of each. Compare the ingredients with one another. If they are different, why do you think there is a variance between the two?
1*. Suppose that Xi....,Xn is a random sample of size n on X, where X has pdf f(x, = -92 X3e-2218, X> 0, and 0 is a positive parameter.
Suppose a golfer takes 72 strokes to complete the round. What is the probability that at least 60 of these shots take less than 45 seconds?
For each of the following situations, state which type of sampling plan was used. Explain whether you think the sampling plan would result in a biased sample.
Use the formula of Exercise 29 to calculate a 95% confidence interval for β for the numbers of hours studied and the test scores in the table in Section 3 and compare this interval with the one obtained in Example 6.
In the real world, given null hypothesis is false; but the collected data lead to the null hypothesis being accepted. That is, the data lead to a failure to reject null hypothesis.
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