8. (12 points) A bo without replacement, Suppose that X is the number of red widgets...
Two marbles are chosen without replacement from a box containing 5 green, 8 red, 5 yellow, and 7 blue marbles. Let X be the number of red marbles chosen. a) Find and graph the probability distribution of X. b) Find E (x)
question: A box contains 3 red, 7 white & 2 blue marbles. suppose 3 marbles are chosen with replacement. Determine the probability that the selected marbles are different colors.
(+5)* 6. Suppose that a box contains 2 red balls, 3 white balls, and 4 blue balls. Suppose also that balls are selected from the box one at a time, at random, without replacement. What is the probability that a) all white balls will be obtained in a row? b) both end balls are blue?
Part B 5* 7. Suppose that a box contains 2 red balls, 3 white balls, and 4 blue balls. Suppose also that balls are selected from the box one at a time, at random, without replacement. What is the probability that a) all white balls will be obtained in a row? ) both end balls are blue ?
2. Assume two fair dice are rolled. Let X be the number showing on the first die and number showing on the second die. (a) Construct the matrix showing the joint probability mass function of the pair X,Y. (b) The pairs inside the matrix corresponding to a fixed value of X - Y form a straight line of entries inside the matrix. Draw those lines and use them to construct the probability mass function of the random variable X-Y- make...
1) Suppose that three balls are sampled without replacement from an urn containing 5 red balls and 5 green balls. Find the probability that the sample contains at least one ball of each color 2.) Suppose that a pair of fair dice is rolled and that all 36 outcomes are equally likely. Calculate the probability that the second die lands on a number greater than the first.
#2 1. Suppose a box contains 4 red marbles and 4 green marbles. If you select 3 marbles with replacement what is the probability of getting all red marbles Answer: Here the and is implied. You need to get and a red on the third Since we are selecting with replacement, the events a red on the first and a red on the second PlRi and R and R) = p(R)、P(R,) , p(Rs) = 8 = (5) 2. Suppose you...
Part 1 Suppose that 2 batteries are randomly chosen without replacement from a group of 12 batteries: 3 new, 4 used (working), and 5 defective. Let the random variable X denote the number of new batteries chosen and the random variable Y denote the number of used batteries chosen. The joint distribution fxy is given in the following table: 0 12 17663/6 120/6612/66 1. Calculate P ( X 1 ,Y > 1) 2. Find the marginal probability mass function fx...
There are two boxes with red and blue balls in them. Box I has 1 red and 4 blue balls; Box II has 3 red and 2 blue balls. There is a fair coin with Box I written on one side and Box II written on the other. You toss the coin and then draw 2 balls without replacement out of the box that comes up on the face of the coin. a. Let Y be the number of red...
. There are two boxes with red and blue balls in them. Box I has 1 red and 4 blue balls; Box II has 3 red and 2 blue balls. There is a fair coin with Box I written on one side and Box II written on the other. You toss the coin and then draw 2 balls without replacement out of the box that comes up on the face of the coin. a. Let Y be the number of...