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

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4.81. Whenever horses a, b, c race together, their respective probabilities of winning are 0.3, 0.5, 0.2. They race three times. (a) Find the probability that the same horse wins all three races. (b) Find the probability that a, b, c each wins one race.
I only need help with "D" and "E" thank you!
In a particular NE college, the probability a professor receives the Wall Street Journal is .7. The probability a professor receives New York Times is .3. The probability a professor receives both the Wall Street Journal and the New York Times is .2. What is the probability a professor receives the Wall Street Journal or the New York Times?
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 ?.
Q3/ Explain each of the following branches, then choose the correct answer i. A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls and blue balls is: ii. iii. one a. 3 b. 1 28 16 persons shake hands with one another in a party How many shake hands took place? a. 124 b. 120 c. 165 d. 150 - 1/1/12 28 C. 167 168 d. In a college 30% student fail in physics, 25% fail in mathematics and 10% fail in both. One student is chosen at random. The probability that he fails in physics if he has failed in mathematics is
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Suppose the probability that a basketball player hits a basketon a free throw is 0.91, and that the throws are independent. Consider that the player continues through rolls until he makes a mistake. What is the probability that on his 5th or 3rd free throw does he make the first mistake?
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