ABCDEfuHIJKL- ignore ABC..Please answer the following questions, Write clearly as well and please as fast as possible. I willupvote.A. Supposein its upcoming freshman class. If the admissions office admits 800 students, what is thean admissions office determines that 40% of students who are accepted actually enrollprobability at least 328 actually enroll? Use the normal approximation to the binomial toapproximate this probability. Be sure to check the conditions necessary to perform thiscalculation first.

Given: The probability that students actually enrolled, p=0.40 Number of students, n=800

Answered: A. Suppose an admissions office…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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please only part b,c & d.
In a jury trial, suppose the probability the defendant is convicted given guilt, is 0.95, and the probability the defendant is acquitted given innocence is 0.95. Suppose 90% of defendants are truly guilty. Given that the defendant is convicted, find the probability that he was actually guilty.
Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction
The probability of a person selling by phone to sell for each call is independent of each other and is 0.2. So, what is the probability that he did not sell in exactly 5 calls before making the second sale?
Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.
2) A particular NBA player is a career 59% field goal shooter. If he takes 50 shots, find: a) the probability he makes at most 30 using the normal approximation to the binomial. b) the probability he makes exactly 28 using the normal approximation to the binomial.
Suppose the average tread-life of a certain brand of tire is 45,000 miles and that this mileage follows the exponential probability distribution. What is the probability that a randomly selected tire will have a tread-life between 30,000 and 50,000 miles?
Suppose it has been determined that the probability is 0.8 that a rat injected with cancerous cells will live. If 95 rats are injected, how many would be expected to die?
A certain disease has an incidence rate of 0.7%. If the false negative rate is 8% and the false positive rate is 4%, compute the probability that a person who tests positive actually has the disease.
Suppose a baseball player's batting average is .325. What is the probability that in the next 100 times at bat he will get at most 30 hits?
Suppose that 51% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 41% end up investing in bonds, and 61% end up investing in stocks or bonds (or both). What is the probability that a person who inquires about investments at this firm will invest in both stocks and bonds? Write your answer as a decimal (not as a percentage).
A certain disease has an incidence rate of 0.2%. If the false negative rate is 5% and the false positive rate is 1%, compute the probability that a person who tests positive actually has the disease.

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