in a certain college, 25% of the students failed mathematics,15% of the students failed chemistry and 10% of the students failed both mathematics and chemistry. A student is selected at random,
I)if he failed the exam, what is the probability that he failed mathematics?
ii) if he failed mathematics, what is the probability that he failed chemistry?
iii) what is the probability that he failed mathematics or chemistry?

A large university provides housing for 10 percent of its graduate students to live on campus. The university’s housing office thinks that the proportion of graduate students looking for housing on campus may be more than 0.10. The housing office decides to survey a random sample of graduate students, and 62 of 481 say that they are looking for housing on campus. At a=.05, is there evidence to support the housing office’s suspicion?

If you want to conduct a study on female students only you would have to have evidence that there was a reason not to include male students. Do you expect that the result on male versus female monkeys extends to male and female students? Give evidence to support your conclusion (I won’t accuse you of political incorrectness.) Design a study to test your hypothesis.

Identify which study design is applicable for studying the following health outcomes and why?
1. Number of new cases of obesity among college students in Saudi Arabia in 2019.
2. The number of students with obesity who are physically active and the number of students with obesity who are physically inactive.
3. Give two difference between descriptive and analytic cross-sectional study.

If the price increases from $ 1.50 to $ 2.50, what would be the price elasticity of the demand of the faculty and students? (use the midpoint method for your calculations) What reason could there be for students to have a different elasticity to faculty?

You would like to study the weight of students at your university. Suppose the average for all university students is 159 with a SD of 27 lbs, and that you take a sample of 31 students from your university.

a) What is the probability that the sample has a mean of 160 or more lbs?
probability =

b) What is the probability that the sample has a mean between 164 and 167 lbs?
probability =

A fast food company CEO claims that 19% of university students regularly eat at one of their restaurants. A survey of 145 students showed that only 21 students regularly eat at one of their restaurants. Assuming the CEO's claim is correct, determine (to 4 decimal places):

1. the standard error for the sampling distribution of the proportion.
2. the probability that the sample proportion is no more than that found in the survey.

Illustration: Whether they have to or want to, many students work while attending college and many students even attempt to do both full-time. Discuss three difficulties students face when they work while going to school. Be sure to provide three clear examples to support your point. Use third-person examples, do not write the essay as a narrative.

A psychological test was standardized for a population of tenth-grade students in such a way that the mean must be 500 and the standard deviation must be 100. A sample of 90 twelfth-grade students was selected independently and at random, and each given the test. The sample mean turned out to be 506.7. On this basis, can one say that the population distribution for twelfth grade students would differ from that of tenth-graders?

The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and universities.

Suppose we take a poll (random sample) of 3613 students classified as Juniors and find that 2956 of them believe that they will find a job immediately after graduation.

What is the 99% confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.