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An outdoor restaurant in a summer resort closes only on days that it rains. From past records it is found that from May through September, when it rains one day, the probability of rain for the next day is .6; when it does not rain one day, the probability of rain the next day is .1.
A. Draw a transition diagram.
B. Write the Transition Matrix.
C. If it rains on Thursday, what is the probability that the restaurant will be closed on Saturday? And on Sunday?
If 37% of high school students said that they exercise regularly, find the probability that 5 randomly selected high school students will say that they exercise regularly.
We are certain the the average difference in reaction times between the two light types for all golfers is between 0.27 and 7.13.
How would you explain the analysis of variance, assuming that your audience has not had a statistics class before?
Is this enough evidence to support Union's position? Use significance level of a = 0.05. You may suppose the mean annual salaries are normally distributed.
A human society claims that less than 31% of U.S. households own a dog. In a random sample of 392 U.S. households, 155 say they own a dog. At a=0.03, is there enough evidence to support the society's claim?
Find an equation of the least squares regression line. Please show your work. Is there a linear correlation between "x" and "y" at the 0.01 significance level? Please justify your answer.
No, there is not enough information to refuse hypothesis that proportion of male students who live on campus and proportion of female students who live on campus are same as the test value -1.65 is inside acceptance region (-1.96,1.96).
In the real world, a 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 the null hypothesis.
A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2,863 firms, 848 announced one or more acquisitions during the year 2000.
What additional strategies (up to 3) you would propose that may increase validity of the findings.
If W denotes the total number of spaces one moves under these special conditions, find the mean and standard deviation of W.
Compare among expected monetary approach also expected utility approach. Sketch the brokers utility curve and describe what it says about her risk profile.
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