There are two lots of items; it is known that allthe items of one lot satisfy the technicalstandards and 1/4 of the items of the other lotare defective. Suppose that an item from a lotselected at random turns out to be good. Findthe probability that a second item of the samelot will be defective if the first item is returnedto the lot after it has been checked.

Answered: Image /qna-images/answer/70031b17-2f40-4fdc-b96b-844ff8cff4b2.jpg

Answered: There are two lots of items; it is…

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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Suppose that it is known that in a certain large population, 10 percent of the population is color blind. If a random sample of 25 people is drawn from the population, find the probability that exactly 8 of them are color blind.
In a certain population of people, 72% of the people have brown eyes and 28% of the people have blue eyes. What is the probability that two randomly selected people (not related to each other) from this population will have eyes of the same color? (Answer correctly to 3 decimal places.)
refer to the above question 1. if a student is selected at random then the probability that he/she has passed only one test (either math or state, bot not both) is
Suppose 5 out of every 10,000 individuals in a country has a rare disease. A test for the disease exists. Individuals known to have the disease test positive 99% of the time. Individuals known to be free of the disease test negative 98% of the time. Suppose an individual from the country is selected at random (with all being equally likely to be selected) and given the test. Given that the individual tests positive, what is the probability that he in fact has the disease? Give the probability as a decimal number to six decimal places.
You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X2 fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri- bution. b. What is the probability that exactly 15 students in the class of 20 get into the pro- gram? Do not use Table C. c. What is the probability that atleast 22 students in the class of 25 get into the pro- gram? Do not use Table C. d. Using Table C, what is the probability that atleast 17 students in the class of 20 get into the program? е. Let X be the number of students in both classes that get into the program. Deter- mine the mean and standard…
Urn 1 contains 4 red and 6 white balls. Urn 2 contains 3 red and 6white balls. A ball is drawn from urn 1 and placed in urn 2. Then a ball is drawn from urn 2. If the ball drawn from urn 2 is red, what is the probability that the ball drawn from urn 1 was red?
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Do question 2
Please help me fix problem D,E,F, Thank you!
Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing one white ball and two red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red. The probability of the second ball being red is?

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