4 students apply to a PhD program.  The program accepts 45% of all applicants.  Students are accepted and rejected independently of each other.  Let the random variable X represent the number of the 4 students who get accepted into the PhD Program.   What is the probability that 1 student is accepted to the program if it is known that at fewer than 2 students will be accepted? (round your answer to 4 decimal places) (Hint: Binomial distribution with P=45% and n=4, and conditional probability)

Five hundred women are enrolled in a study to evaluate the accuracy of a test for pregnancy. 200 of the women were actually pregnant. 170 of the pregnant women had a positive test as did 140 of the women who were not pregnant. What is the probability (i.e., specificity) that a woman tested negative on a test given that she is not pregnant? Test                         Pregnant? Yes No Total + 170 140 310 – 30 160 190 Total 200 300 500

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

The probability that a person tested negative on a screening test given that he/she does not have a disease is called the

Select the term that best fits this definition: The sample size is large enough that the central limit theorem is a requirement for distributions of means

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)

Ethnicity of USF students is

The probability that a person tested positive on a screening test given that he/she has a disease is called the

A sample of 1000 subjects is stratified gender and physical activity level as follows:   Physical Activity Level Gender Low High Total Male 200 500 700 Female 100 200 300 Total 300 700 1000   In a random selection of a subject from the study population, what is the probability that the person is female?

In a study on the effect of maternal exposure to cigarettes on the risk of preterm birth, the number of preterm births occurring among 130 women who smoked during pregnancy between 2010 and 2012 was compared to the number of preterm births among 192 women who did not smoke during pregnancy during the same time period. In a second study, the pregnancy medical records of 55 women who gave birth to premature infants were compared to those of 98 women who did not have a premature infant in order to assess if the women smoked during pregnancy.Which of the following statements is correct?