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Question: Contest. You play two games against the same opponent. The probability you win the first game is 0.4. If you win the first game, the probability you also win the second is 0.2. If you lose the first game, the probability that you win the second is 0.3.
a) Are the two games independent? Explain.
b) What's the probability you lose both games?
c) What's the probability you win both games?
d) Let random variable X be the number of games you win. Find the probability model for X.
e) What are the expected value and standard deviation?
How is the rejection region defined and how is that related to the z-score and the p value? When do you reject or fail to reject the null hypothesis?
The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a student scores more than 700 on the standardized test?
Sketch a scatterplot of this data and then decide which of the following statements is true: a. The variables measured are all categorical. b. There is a strong negative association between the heights of men and women, because the women are always..
The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has undertaken several efficiency measures in order to reduce prices.
What problems do you see with the graph?- Consider the percentages for the named modalities. Do you see anything odd about them?
A professor is targeting a score of 80 on an exam. His forty-nine students averaged 78 on an exam with s = 7. Are the scores significantly less than 80 at a significance level of 0.05?
In 2006 the U.S. Internal Revenue Service (IRS) received 132,275,830 individual tax returns (The 2008 New York Times Almanac). The actual number of each type of individual return received by the IRS in 2006 is given below:
Critically discuss the main differences between descriptive and inferential statistics? Provide an example of either type of statistics either from a recent study you heard about or a made up study you'd be interested in learning about.
It is believed that the range of hourly wages paid to auto mechanics in a large city is $9 (range approx. = 4sigma-squared). If we assume that hourly wages are approximately normally distributed,
Discuss the notations and two properties of probability.
The Crusades: What were the causes and some of the consequences of the Crusading movement? Consider the roles and the motivations of the Byzantine Emperor, Pope Urban II, European monarchs and the individuals (mainly European knights) who particip..
the u.s. department of transportation national highway traffic safety administration reported that 77 of all fatally
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