Question

In: Statistics and Probability

Suppose box 1 has four black marbles and two white marbles, and box 2 has two...

  1. Suppose box 1 has four black marbles and two white marbles, and box 2 has two black marbles and five marbles. If you picked one marble from one of the two boxes at random, what it the probability that you picked from box 1 given that the marble you picked is black?

  1. A raffle has 5000 tickets with the following prizes: 1 ticket has $2000 prize, 10 tickets have $200 prize, and 20 tickets have $50 prize and 500 tickets have a $20 prize. If to buy a ticket costs $15, and X is the random variable that measures net profit:
  1. Calculate the pdf table of X
  2. Calculate E(X), Var(X)

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

7. A box contains 12 white marbles and 5 black marbles. Suppose we randomly draw a...
7. A box contains 12 white marbles and 5 black marbles. Suppose we randomly draw a marble from the box, replace it, and then randomly draw another marble from the box. (This means that we might observe the same marble twice). What is the probability that both the marbles are white? Write your answer as a decimal accurate to three decimal places. 8. Suppose that 7.3 % of the items produced by a factory are defective. If 5 items are...
Box X contains 3 red, 2 white marbles; box Y contqains red, white marbles A box...
Box X contains 3 red, 2 white marbles; box Y contqains red, white marbles A box os selected at random; a marble is drawn and put into the other box; then a marble is drawn from the second box Find the probability that both marbles drawn are of the same color
Assume jar has four red marbles and two black marbles. Draw out two marbles with and...
Assume jar has four red marbles and two black marbles. Draw out two marbles with and without replacement. Find the requested probabilities (enter the probabilities as fractions.) a.) p(two red marbles) with replacement = without replacement = b.) p(two black marbles) with replacement = without replacement = c.) p(one red and one black marble) with replacement = without replacement = d.) p(red on the first draw and black on the second draw) with replacement = without replacement =
Twelve marbles are placed in a hat, three are black, two blue, one green, four white...
Twelve marbles are placed in a hat, three are black, two blue, one green, four white and two red. Two marbles are drawn out at random, without replacement. Find the probability that (a). Both marbles are black. (b).one of them is red, and the other is green.    (c). Neither marble is white.
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. -...
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. - Box #2 contains: + 8 Black balls. + 4 White balls. - Two balls are drawn from Box #2 and placed into Box #1. - A ball is drawn from Box #1. 1- What is the probability that the ball drawn from Box #1 is White? 2- Suppose that the ball drawn from Box #1 is White, then what is the probability that at...
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. -...
Suppose 2 boxes: - Box #1 contains: + 5 Black balls. + 6 White balls. - Box #2 contains: + 8 Black balls. + 4 White balls. - Two balls are drawn from Box #2 and placed into Box #1. - A ball is drawn from Box #1. 1- What is the probability that the ball drawn from Box #1 is White? 2- Suppose that the ball drawn from Box #1 is White, then what is the probability that at...
Cameron has a bag with 10 white marbles and 15 black marbles. What is the probability...
Cameron has a bag with 10 white marbles and 15 black marbles. What is the probability that he will choose (on two separate draws) two white marbles without replacement.
Marks: 1 A bag of marbles contains 3 white and 4 black marbles. A marble will...
Marks: 1 A bag of marbles contains 3 white and 4 black marbles. A marble will be drawn from the bag randomly three times and put back into the bag. Relative to the outcomes of the first two draws, the probability that the third marble drawn is white is: Choose one answer. a. Independent b. Conditional c. Unconditional d. Dependent Question54 Marks: 1 A parking lot has 100 red and blue cars in it. 40% of the cars are red....
Four marbles are drawn simultaneously and at random from an urn containing 8 black, 7 white,...
Four marbles are drawn simultaneously and at random from an urn containing 8 black, 7 white, and 5 red marbles. What is the probability that at least one of them is white?
2. Suppose that a box is known to contain 50 red and 25 blue marbles. Two...
2. 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? c. If the second marble is blue,...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT