A professor tells his students that there will be 16 review problems for the final exam and that the examwill consist of 5 of these questions, verbatim. Now suppose that a student decides to prepare for the examby selecting 5 questions from the review set at random, and mastering these problems. Assuming that thisstudent is completely unprepared for the 11 questions they ignored,(a) Compute the probability that the student gets a 60% on the exam. That is, the exam consists of 3questions the student prepared for and 2 questions the student did not prepare for.(b) Compute the probability that the student earns a 40% or better on the exam.(c) Compute the probability that the student gets a 100% on the exam.

We have to use hypergeometric distribution to find the probability

Answered: A professor tells his students that…

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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8 For this problem, assume there are 3 grey females, 4 grey males, 2 white females, and 3 white males. As in the book, the biologist selects two mice randomly. (1) What is the probability of selecting two males given that both are grey? (2) What is the probability of selecting 1 mouse of each gender given that both are grey?
Imagine an animal that shows two variants; one long-legged and one short-legged. Each female produces 2 female offspring per generation and then dies. The offspring of the long-legged ones survive to adulthood (reproductive age) with a probability of 55% and the offspring of the short-legged ones survive to adulthood with a probability of 45%. If you begin with a population of 60 females of each type, what proportion of individuals will have long legs in 5 generations? (Note that you can ignore males and count only females and their offspring.) Show all work.
Suppose a compact disk (CD) you just purchased has 19 tracks. After listening to the CD, you decide that you like 7 of the songs. The random feature on your CD player will play each of the 19 songs once in a random order. Find the probability that among the first 5 songs played (a) you like 2 of them; (b) you like 3 of them; (c) you like all 5 of them. (a) Find the probability that among the first 5 songs played you like 2 of them. (Round to four decimal places as needed.) (b) Find the probability that among the first 5 songs played you like 3 of them. (Round to four decimal places as needed.) (c) Find the probability that among the first 5 songs played you like all 5 of them. (Round to four decimal places as needed.)
Suppose a compact disk (CD) you just purchased has 18 tracks. After listening to the CD, you decide that you like 7 of the songs. The random feature on your CD player will play each of the 18 songs once in a random order. Find the probability that among the first 5 songs played (a) you like 2 of them; (b) you like 3 of them; (c) you like all 5 of them.
Suppose that there are 5 white marbles, 2 green marbles, 1 red marble are in the container. You are asked to withdraw 3 marbles at a time. Determine the probability that exactly 2 white marbles are withdrawn.
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
Suppose that the population is 1000 people and the probability of cat people is 25% if we take a random sample of 100 people what is the probability that the proportion in the sample will be bigger than 29%
On a test to obtain a securities license there are 10 questions with possible answers A, B, C, D, & E with probability of getting the correct answer is 70%. A student is taking this test , what is the probability of getting at least 4 correct by guessing on the 10?
The average number of Toyota cars that you can see on your deive to work is 26, what is the probability that you would see exactly 28 Toyota cars tomorrow

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