Maggie is applying to college. There are only two outcomes for each application. It is either accepted or rejected. Each application she sends has a 0.70 probability of being accepted. She applies to 10 colleges. (6 points) (this is a binomial distribution)
What is the expected value and variance for the random variable “number of acceptances”?
What is the probability that she will be accepted to 3 colleges?
What is the probability she will be accepted to 8 or more colleges?
Maggie is applying to college. There are only two outcomes for each application. It is...
Week 3 Assignment Question 1 Fifty-five percent of the students applying to a university are accepted. Using the binomial probability tables or Excel, what is the probability that among the next 18 applicants: Exactly 6 will be accepted? At least 10 will be accepted? Exactly 5 will be rejected? Fifteen or more will be accepted? Determine the expected number of acceptances. Compute the standard deviation.
Eighty percent of the students applying to a university are accepted. Using the binomial probability tables or Excel, what is the probability that among the next 20 applicants: 1. Exactly 10 will be accepted? Why is this number so low? (#4 might help) 2. At least 14 will be accepted? (14 or more will be accepted) 3. Exactly 5 will be rejected? 4. Determine the expected number of acceptances. 5. Compute the standard deviation. I do not know how to...
Suppose the event of a student’s application to a university being accepted follows the binomial probability. The successful rate is 80%. Please finish the following tasks? (1) Determine the expected number of acceptances for the next nine applicants and the standard deviation. (2) What is the probability that among the next 10 applicants exactly 6 will be accepted? Need Help
In an experiment, there are n independent trials. For each trial, there are three outcomes, A, B, and C. For each trial, the probability of outcome A is 0.20; the probability of outcome B is 0.70; and the probability of outcome C is 0.10. Suppose there are 10 trials. (a) Can we use the binomial experiment model to determine the probability of four outcomes of type A, five of type B, and one of type C? Explain. No. A binomial...
TASK 2 In a large college two newsletters, A and B, are issued to all the teaching staff each week. Each member of staff reads either newsletter A or newsletter B (but not both). The percentage of staff who read newsletter A is x%. The college advertises a management post in both newsletters. It is reckoned that the probability of a reader of newsletter A applying for the post is 0.02 and the probability of a reader of newsletter B...
Suppose that two fair dice are rolled, What is the probability that the number shown on one will be twice the number shown on the other (hint: make a table and count). 7. Doomsday Airlines has an old propeller plane that will fly if at least one engine is working. Suppose that the probability of engine failure is 0.1 for the port engine and 0.15 for the starboard engine. Of course the engines function or fail completely independently of each...
4. Suppose the event of a student’s application to a university being accepted follows the binomial probability. The successful rate is 80%. Please finish the following tasks? (1) Determine the expected number of acceptances for the next nine applicants and the standard deviation. (2) What is the probability that among the next 10 applicants exactly 6 will be accepted? (Please show the detail computation steps. Please don’t just give an answer from Excel functions or calculator functions. Otherwise, you will...
In one city, 20% of the population has a college education. Three people are selected at random from the city. Find the probability distribution of X, the number among the three that have a college education. A. Identify then and the p for this distribution. p B. Let the random variable x be the possible number of people selected with a college degree. Develop a binomial distribution by finding P(x) when x = 0, 1, 2, and 3. XP(x) 0...
67.4% of the applications received for a particular credit card are accepted. Random variable x represents the number of accepted among the random sample of 36 applications. What is the variance o for this distribution? Round your answer to two decimal places. A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 36% of all employees believe their company president possesses low ethical standards. Suppose 20...
Elementary Probability and Statistics - Binomial Probability Distribution El Camino College Math 150 Statistics Cohort Coho Act 13 Task 1: Many probability experiments have only two outcomes. Either we have a pop quiz tomorrow or we don't, either I get the question right or wrong, either the couple has a girl or a boy. This type of probability distribution is called a binomial probability distributiorn must be certain criterion met before we can call an experiment a binomial probability 1....