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3 statistics professors and 7 chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
One state lottery has 1000 prizes of $1, 200 prizes of $5, 50 prizes of $25, 15 prizes of $150, 4 prizes of $500, and 1 prize of $2500. What is the lottery expected profit per ticket?
Depends on the satellite information illustrate what is the expected number µ of real forest fires on the Seward Peninsula.
Given that this sample is extremely large, can the responses be considered to be representative of the population of the United States? Explain.
Suppose that the results of the sample lead to rejection of the null hypothesis. Classify that conclusion as a:
For the experiment above, let X denote the number of hearts that are drawn. For this random variable, find its expected value and standard deviation.
Construct a 95 percent confidence interval for the true mean.
The random variable X is the distribution of siblings of a student selected at random from a particular secondary school. Its probability distribution is given in the table.
The standard deviation of the sample is 2.5 calls. Using the .05 significance level, can we conclude that the mean number of calls per salesperson per week is more than 44?
By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 3.22 seconds.
Simulate a completely random process of length 48 with independent, t-distributed values each with 5 degrees of freedom. Construct the time series plot. Does it look "random" and nonnormal? Repeat this exercise several times with a new simulation ..
Determine the margin of error in estimating the population mean. Sample of 68 college students yields a mean annual income of $3248. Assuming that the standard deviation = $885.
Calculate the 95% confidence interval for the proportion of students with at least one injury for each of the two subpopulation
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