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We roll two fair dice, a blue and a red one, independently of each other. Let X be the number obtained on the blue die minus the number obtained on the red die. Draw a histogram for its probability function and a graph for its distribution function.
what is the probability that a randomly selected value from the distribution will be greater than 2.1 standard deviations avoe the mean?
Give an example representing a discrete probability distribution and a continuous probability distribution. Explain why your choice is discrete and continuous.
If level of significance ( α ) is 0.005 in two-tail test, how large is non rejection region under curve of the t distribution?
In chi-square goodness-of-fit test when there is close agreement between observed frequency and expected frequency, chi-square test value will be small.
A manufacturer claims that the mean lifetime, , of its light bulbs is 49 months. The standard deviation of these lifetimes is 9 months. Seventy bulbs are selected at random, and their mean lifetime is found to be 46 months.
It has been evaluated that 30% of all farms are family-owned. In sample of 12 farms, determine the probability that exactly 3 farms are family owned?
Based on probability you calculated in part a, would you conclude that more than 30 percent of Americans (18 years or older) say that figure skating is their favorite Winter Olympic event?
One should never use a regression line to predict the dependent response variable when the independent value is outside of the data range of the original data set that was used to fit the line.
Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7 grams of fat per pound.
Any analysis required to check the required conditions (note that if you find that you cannot meet the required conditions for the test you expected to do, you must use the appropriate non-parametric test)
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?
A study of 40 bowlers showed that there average score was 186 the standard deviation of the population is 6. Find the 95% confidence interval of the mean score for all bowlers.
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