Problem 3. (5-+5-+5-+10-25 points) Suppose there are two full box of marbles. The green box has...
A box of marbles has 5 red marbles, 2 green marbles, and 1 blue marble 5. A box of marbles has 5 red marbles, 2 green marbles, and 1 blue marble. (a) Find the probability of selecting 2 red marbles if the first selection is replaced before the next selection is made. (b) Find the probability of selection 2 red marbles if the first selection is not replaced before the next selection is made (c) Find the probability of selecting...
There are 5 red marbles, 7 green marbless, 4 black marbles, and 8 blue marbles in a bag. Suppose you select one marble at random. Find each probability. a. P(red) b. P(orange) c.P(blue) d. P(not green) d. P(green or black) eP(not yellow)
You have two boxes filled with colored marbles. The first box has 3 red marbles and 5 green. The second box has 2 red marbles and 4 green. You shuffle the marbles really well and without looking pull a marble out of the first box and place it into the second box. Then, again, without looking, you draw a marble from the second box. What is the probability of drawing a red marble from the second box?
Suppose that a box is known to contain 50 red and 25 blue marbles. Two marbles are to be drawn in succession. The first marble is set aside and its color noted. It is not placed back into the box before the second marble is drawn. a. Sketch a probability tree which represents this situation. b. What is the probability that the second marble is red, if the first marble is red?
PROBLEM: Marbles in a Box Suppose there are 17 marbles in a box. There are 5 blue marbles, 4 yellow marbles, 3 red marbles, and 5 green marbles. The experiment is selecting 2 marbles randomly from the box, without replacement. Let x be the number of blue marbles. Note: The picture shown is an example of marbles in the box. The number of marbles and their color code does not reflect to this problem (a) Determine whether the experiment is...
An urn contains 15 different colored marbles, 7 are red, 5 are blue, and 3 are green. Part 1. If two balls are randomly picked from the urn without replacement a) b) Determine the sample space What is the probability of grabbing a red marble on the first pick and then a green marble on the second pick? Did you use the classical or empirical approach to calculate the probability in part b? Are these events independent or dependent? Disjoint...
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-
1. We have a bag with 10 red marbles, 3 blue marbles and 5 green marbles in it. What is the probability of randomly selecting a green marble from the bag? 2. If a number is randomly chosen from the following list, what is the probability that the number is a multiple of 4? [32, 49, 55, 30, 56, 28, 50, 40, 40, 45.3.25) 3. In a single throw of two fair dice, what is the probability that a doublet...
Question 25 4 pts A bag contains 4 blue marbles and 7 red marbles. Two marbles are randomly drawn without replacement. Find the probability of the event "the first marble is red and the second marble is blue"? O 28/121 0 24/121 O 28/110 O 21/110 Question 26 4 pts The chart below give the population breakdown for each 100 residents of East Palo Alto (Source: U.S. Census). We wish to conduct a Hypothesis test to determine if the Year...
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)