Type of college a student is enrolled in at USF (i.e., Public Health, Nursing, etc.) is

3 students apply to a PhD program.  The program accepts 65% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number out of the 3 students who get accepted from the PhD Program. (Hint: Binomial distribution with n=3 and p=65%)   What is the mean of the random variable?  (round your answer to 4 decimal places)

What is the clinical name of a probability that is used to determine the likelihood of someone having a negative test when it is known they do have the disease.

A sample of 2500 patients were taken to assess a medical test.  27% of the sample have the disease, 563 patients have the disease and tested negative, and 235 patients do not have the disease and tested negative. What is the probability someone has the disease if it is known they have a positive test?  (round your answer to 4 decimal places)

In one study on the effect of Dyazide on blood pressure level, 25 subjects were randomly chosen to receive Dyazide and 25 were chosen to receive a placebo. These subjects were later examined to check for differences in their blood pressure levels. In a second study, 200 subjects who reported taking Dyazide for a long period of time had their blood pressure levels compared with those of 200 people who had never taken Dyazide. Which of the following statements is correct?

For a sampling distribution for proportions you can assume it follows a normal distribution if p-hat times sample size and 1-phat times sample size are both greater than ten.

A biostatistician finds the relationship between the number of weeks (X) spent in a hospital and number of seizures per week (Y) and is described by the following equation: . This is based on a sample size of 50 patients and the associated coefficient of correlation is r = -.19. Using this information above, answer the following question: How do you interpret the slope of b1 = -.81?

Conduct a hypothesis test based on the following information using a significance level of 1%: Research Question: Are people running less than 20.72 miles per week? Population standard deviation was NOT KNOWN Test statistic = -1.79 Sample size = 31

Suppose you wish to determine if students in the College of Public Health have higher GPAs than that of students in the college of Medicine at USF.  If you have a group of 100 students and randomly assign which college each student should enroll in and track their academic progress until they graduate, then compare their GPA’s what kind of study was conducted?

A graduate student is registering for 3 courses in one semester. X=the number of courses that are full at the time of registration.  The random variable X has a probability distribution as follows x 0 1 2 3 p(x) 0.55 0.25 0.15 0.05 The probability that less than one of the classes are full at the time of registration [P(X < 1)] is equal to