A survey of prison guards shows that their average starting hourly wage is $30 and the variance is 9. If prison guard is selected, what is the probability that his/her hourly wage will be greater than $27 but less than $35?

Dr. Verde conducted an experiment in which she randomly assigned each subject a colored pencil and then asked them to choose their favorite color. Her results showed that neither the distribution of the assigned pencil colors or the subjects' preferred colors conformed to their expected theoretical probability values. If she repeats the experiment with a much larger sample, how would you expect her results to change and why? Answer in complete sentences. UPLOAD

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 4764 miles, with a variance of 193,600.   If he is correct, what is the probability that the mean of a sample of 34 cars would differ from the population mean by greater than 149 miles? Round your answer to four decimal places.

29 percent of all Samsung cell phones are submitted for service while under warranty. Of these, 66 percent can be repaired, whereas the other 34 percent must be replaced with new units. If a company purchases 12 Samsung cell phones, what is the probability that exactly 2 will end up being replaced under warranty? What would the mean number of cell phones being replaced under warranty be? What would be the variance be for the cell phones being replaced by warranty?.

The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers.  A random sample of 100 orders will be used to estimate the proportion of first-time customers.  What is the probability that the sample proportion will be within .05?

A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.8%. What is the probability that in a random sample of 580 headache sufferers, less than 59.5% obtain relief? Probability=?

A dean in the business school claims that GMAT scores of applicants to the school's MBA program have increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 applications for this year's program were randomly selected and the GMAT scores recorded. If we assume that the distribution of GMAT scores of this year's applicants is the same as that of 5 years ago, find the probability of erroneously concluding that there is not enough evidence to supports the claim when, in fact, the true mean GMAT score is 590. Assume αα is 0.02.

high blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of  83 U.S. adults is chosen, Find the probability that more than 41%  of the people in this sample have high blood pressure.

What is the weighted probability of zero days of filming? What is the weighted probability of one day of filming? What is the weighted probability of two days of filming? What is the weighted probability of three days of filming? What is the weighted probability of four days of filming? What is the weighted probability of five days of filming? What is the variance?