wo marbles are drawn at random and with replacement from a box containing 2 red, 3 green, and 4 blue marbles. Let's define the following events: A = {two red marbles are drawn} B = {two green marbles are drawn} C = {two blue marbles are drawn} D = two marbles of the same color are drawn} Find the probabilities of the following events:
(a) P(A), P(B), P(C), and P(D).
(b) P(A|D).
wo marbles are drawn at random and with replacement from a box containing 2 red, 3...
PLEASE PROVIDE FORMULAS USED IN THIS QUESTION 3. (6 points) Two marbles are drawn at random with replacement from a box containing 2 red, 3 green, and 4 blue marbles. Let's define the following events: A= {two red marbles are drawn}, B = {two green marbles are drawn), C = {two blue marbles are drawn}, D= {two marbles of the same color are drawn} Find each of the following probabilities: P(A), P(B), P(C), P(D), and P(A|D). -1-
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)
A box contains 3 red and 4 green marbles. Five marbles are drawn without replacement. Let X denote the number of red marbles obtained. a) Construct the probability distribution of X. b) What is the expected number of red marbles?
There are 3 green marbles and 5 blue marbles in a bag and 4 red marbles. Two marbles are drawn from the bag at random without replacement. Find the probability that both marbles are blue. Find the probability that the first is blue and the second green.
Please ignore the section discussing the 3 diagrams. Tree Diagrams and Probability A box contains 4 red and 8 blue balls. Three balls are drawn from the box. Print the 3 different tree diagrams. 1. Complete the symbolic tree diagram by placing appropriate symbols on the branches and at the ends of the branches as indicated 2. Assuming the balls are drawn without replacement, complete the WO R diagram by placing appropriate probabilities on the branches and at the ends...
There is a box of 20 marbles. Of these marbles, 6 are red, 8 are green and 6 are blue. 6 marbles are randomly selected from the box without replacement. Let X be the number of marbles that are red or blue, and let Y be the number of marbles that are blue. a. What is the probability the first and second marbles are red, the third and fourth are blue and the fifth and sixth are green? b. What...
A box contains 10,000 marbles: 6,000 are red and 4,000 are blue. 500 marbles are drawn at random without replacement. Suppose there are 218 blue marbles in the sample. A) Find the expected value for number of blues in the sample, the observed value, the chance error, and the standard error. B) Find a 68% Confidence interval. C) Find a 99.7% Confidence Interval
An urn contains a total of 5 marbles: ese are 1 red, 1 yellow, and 3 green. Two marbles will be drawn from the urn at random, one at a time, without replacement. Define the following events: Ri: the event that the first draw will be red. G2: the event that the second draw will be green. R2: the event that the second draw will red. a) (1 pt each) Find P(RI)- P(G2)- b) (2 pts) Find c) (2 pts)...
Suzan grabs five marbles at random from a bag containing four red marbles, three green ones, two white ones and one purple one. What are the probabilities of the following events expressing each as a fraction in the lowest term. a. She has at least 2 green ones. b. She does not have all the red ones.
A box contains seven marbles. Four of them are red and 3 of them are green. You reach in and choose three at random without replacement. Define a random variable X as: X = the number of red marbles selected. (a) What are the possible values X can take on? (i.e. give Im(X)) (b) Find P(X = x) for all x in Im(X). (c) Make a table for the probability distribution of X as shown in lecture. (Leave probabilities as...