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A first coin (coin #1) that has a probability p of coming up heads is tossed n times. When the first coin (coin #1) comes up heads another coin (coin #2) that has a probability r of coming up heads is tossed. Let Z be the random variable giving the number of times the second biased coin (coin #2) comes up heads.
What is the probability mass function of Z? What is the mean and variance of Z?
In order to compare the means of two populations, independent random samples of 484 observations are selected from each population, with the following results:
Suppose that a model for the joint distribution of these rvs is a bivariate normal distribution.
A 95% confidence interval for the average difference between the two reaction times (traditional - LED) was (-171.37, 174.44). Which of the following is the appropriate conclusion?
If the mailing list can be considered a random sample of the population, what is the chance that at least 1245 Macintosh users will receive the flyer?
What is the minimum sample size needed in order for you to be 95% confident that your estimate is within 5 of µ? Use the value 20 for the population standard deviation of scores on this subsection.
Suppose you are working with a data set that is normally distributed, with a mean of 300 and a standard deviation of 44. Determine the value of x from the following information.
Findout either the given correlation is significant at given level of significance. Illustrate what does sample size have to do with the significance of r.
While dealing with 16 students, suppose that the alternative hypothesis has been one-sided and that it was set as Ha :
It takes between 6 to 7.5 hours to drive from Panama City to Boquete, and the drive time is uniformly distributed.
Is there evidence that teams with higher total payrolls tend to be more successful? Justify your answer.
Plot Kaplan-Meier Survival curve estimates along with true survival curve for n=25,100,1000
When combining probabilities, to find the probability of one event AND another event, the separate probabilities should be:
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