Suppose that you are taking a multiple-choice exam with five questions, each have five choices, and one of them is correct. Because you have no more time left, you cannot read the question and you decide to select your choices at random for each question. Assuming this is a binomial experiment, calculate the binomial probability of obtaining exactly one correct answer.

What are the chances that a person who is murdered actually knew the murdered? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim. About 64% of people who are murdered actually knew the person who committed the murder. Suppose that a detective has 63 current unsolved murders. Explain why this is a binomial experiment.

How many outcomes are there in a binomial experiment?

A survey shows that 75% of all respondents chose to have pizza for a mobie night. Suppose that another 8 friends participated in survey. Does it satisfy fixed number of trials? Does it have only 2 outcomes? Are all trials independent? Is it binomial experiment?

If you have a sample of 100 patients at a hospital and 20 of them have the flu, what is the probability Of randomly selecting 3 patients in a row who have the flue?

In the last week of the semester, Stéphane decides to “reward” the students by no longer limiting himself to 4 exercises and instead assigning every activity he writes. If a student with a 60% chance of correctly answering an exercise is expected to answer three correctly, what is the probability that Stéphane did not have a visitor that week?

About 70% of babies born with a certain ailment recover fully. A hospital is caring for six babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. No Yes What is a success in this experiment? O Baby recovers Baby doesn't recover This is not a binomial experiment. Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice. O A. n= O B. This is not a binomial experiment. Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice. O A. p= O B. This is not a binomial experiment. Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice. O A. q= O B. This is not a binomial experiment.

For any day in July, there is a 20% chance of rainfall. An engineering construction company plans to cast a slabthat requires no rainfall during its casting period extending over 5 days. What is the probability of having no rainfallduring the casting period and one rainy day during the casting period?