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Find the probability distribution of each random variable V, W, X, and Y. Determine the expected value of each random variable. Which investment has the best expected payoff? Which has the worst?
The random variable X is the number of girls of four children born to a couple that is equally likely to have either a boy child or a girl child. Its probability distribution is as follows.
A professor is interested in whether there is a difference in counseling students' statistics competency scores among 1) those who have never taken any statistics course, 2) those who have only take
A teacher is interested in comparing effects of three different kinds of rehearsal techniques (Rote rehearsal, Imagery, as well as Story) on number of words recalled. Participants are randomly assig
In the certain population, body weights are basically distributed with the mean of 152 pounds and standard deviation of 26 pounds. Suppose that we want 96% confidence that the error is no more than
The brand name of the certain chain of coffee shops has 53% recognition rate in town of Coffeeton. An executive from company desires to verify the recognition rate as the company is interested in op
Suppose Dan speaks the truth five out of eight times. Cindy speaks the truth three out of four times. Determining the probability that they would contradict each other in stating the same fact?
A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is actually Uniform on the interval 10 feet to 10.75 feet.
One approach for determining the elevated blood pressure is to employ 90mm Hg the standard for elevated adult DBP as the cutoff what percentage of 17 year old boys would be found to have elevated bl
Determine the probability that three or more rats will die in the next four hours? Determine the probability that 0 rats will die in the 8 hour period?
A national study found that the treating people appropriately for high blood pressure reduced their entire mortality by 20%. Treating people adequately for hypertension has been complex because it i
The probability is 0.2 that the cost of building will be less than what amount? Find out the shortest range such that the probability is 0.95 that the cost of luxury home will fall in.
A club elects the president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 15 members as well as any member can be elected to each position? No person
Determine the probability that a single bag of chips weighs more than stated number of ounces?
Determine whether scatter diagram indicates that the linear relation may exist between the two variables. If the relation is linear, determine it indicates a positive or negative association between
Once an individual is hospitalized, the charges are exponentially distributed with mean 10. Determine the expected value of the annual claim payments for an insured individual?
A container has 3 red marbles and 2 white ones. A marble is selected at random, its color noted and thrown away. If it isn't red, then a white marble is added to container. If the first marble is wh
The regression equation for the set of paired data is that=60.2 + 1.8x. The values of x run from 100 to 400. A new data point, P(379, 742.4) is added to set.
Assume that normal distribution is an appropriate model for probability distribution of x. Determine the probability that the duration of pregnancy is at most 240 days?
Accepted value for the mean and standard deviation of x are 266 days and 16 days, respectively. Suppose that a normal distribution is an appropriate model for the probability distribution of x. What
Do these results suggest that different therapies have different effects upon mental health? (Employ the .05 level.) Employ the five steps of the hypothesis testing. Show all work.
Assume the continuous random variable, X, has the uniform distribution over interval from 0 to 100. Find out the following:
Suppose, that the system consists of 10 components connected in series, and that each component has the .999 probability of functioning without failure. What lower bound can you put on reliability (
A researcher studied the effect of television violence on concentration of a particular blood chemical. In this study, 40 participants were measured over a period of an hour prior to watching a viol
Explain this result to a person who is familiar with hypothesis testing in general, such as with the t test for independent means, but knows nothing about chi-square tests.