7. One of two boxes contains 4 red balls and 2 green balls and the second box contains4 green and two red balls. By design, the probabilities of selecting box 1 or box 2 atrandom are 1/3 for box 1 and 2/3 for box 2. A box is selected at random and a ball isselected at random from it.a. Given that the ball selected is red, what is the probability it was selected fromthe first box?b. Given that the ball selected is red, what is the probability it was selected fromthe second box?c. Compare the results in parts a) and b) and explain the answer.

For the given data Solve the probabilities

Answered: 7. One of two boxes contains 4 red…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

In a pastry shop in a small town, the probability that a customer buys apple tarts is0.45, the probability they buy an apple pie is 0.69 and the probability that they buy bothan apple tart and an apple pie is 0.27. A customer is chosen at random.i. Find the probability that they buy an apple tart or an apple pie. ii. Given that a customer buys an apple pie, what is the probability that they alsobuy an apple tart? b) The weight of a green forest frog has a normal distribution with mean 150.3 g and astandard deviation of 5g. Find the probability that a randomly selected frog weighsi. Less than 153g ii. Between 150 g and 158 g c) The random variable X is normally distributed such that X~N(?, 12). It is known that?(? > 32) = 0.0618. find the value of ?.
There are two white balls in box B1, two red balls in box B2, two white and two red balls in box B3, and three white and one red balls in box B4. The probability of choosing boxes B1, B2, B3 or B4 is given as 1/2, 1/4, 1/8 and 1/8 respectively. One of the boxes is chosen at random and a ball is drawn at random from the selected box. What is the probability that the selected ball comes from box B3 under the condition that it is white?
A sculpted needs to make 3 wood sculptures to exhibit at an art gallery. There is a probability of 0.80 that every piece of wood he carved will be good enough to be a part of the exhibit. What is the probability that he needs to carve 5 or less pieces of wood in order to produce 3 good wood sculptures for the art gallery?
A box has 8 blue and 6 green jelly beans. A bag has 3 blue and 5 green jelly beans. A jelly bean is selected at random from the box and placed in the bag. Then a jelly bean is selected at random from the bag. If a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green? (Round your answer to three decimal places.)
Suppose that a bag contains one white chip and two red chips. Chips are going to be selected at random from the bag with replacement. What is the probability of selecting a white chip from the bag? What is the probability of selecting a red chip from the bag? Are the outcomes of selecting a white chip and selecting a red chip equally likely? Two chips are selected from the bag with replacement. Is the probability of selecting two white chips greater than, equal to, or less than the probability of selecting two red chips? Explain your answer.
Ms V has a box with 10 bags of M&Ms and 15 bags of Skittles. She is going to reach in and pick three bags of candy. What is the probability she picks at least one bag of skittles? (round your answer to one nonzero digit.)
Money bills are frequently printed with defects. The probability that a bill's front side has a defect is 2 percent, the probability that a bill's back side has a defect is 4 percent, and the probability that a bill has defects on both sides is 1 percent. What is the probability that a bill will have a defect on the front, given that it has a defect on its back?
Sheniqua buys a bag of cookies that contains 5 chocolate chip cookies, 5 peanut butter cookies, 6 sugar cookies and 4 oatmeal raisin cookies. What is the probability that Sheniqua randomly selects a sugar cookie from the bag, eats it, then randomly selects another sugar cookie? You may answer as a fraction or a decimal rounded to three places.
A box has 6 blue and 4 green jelly beans. A bag has 9 blue and 2 green jelly beans. A jelly bean is selected at random from the box and placed in the bag. Then a jelly bean is selected at random from the bag. If a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green? (Round your answer to three decimal places.)
A4. Five marbles are to be chosen at random from 8 red marbles and 5 yellow marbles, Find the probability that a all 5 marbles are red. b. at least 2 marbles are red. c 3 marbles are red and 2 marbles are yellow.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS