A box contains 7 red and 5 blue marbles. Suppose we select one marble at a...

A box contains 7 red and 5 blue marbles. Suppose we select one marble at a time with
replacement.
a. Determine the probability that the first blue marble appears on the fourth selection.
b. Determine the probability that out of the first 10 selection, there are at least 2 red
marbles.
c. For part (b), determine the expected and variance number of red marbles selected.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A bag contains one red marble, two blue marbles and three green marbles. A marble is...

A bag contains one red marble, two blue marbles and three green marbles. A marble is selected at random. Define a random variable X such that X=1 if a red marble is selected, X=2 if a blue marble is selected and X=3 if a green marble is selected. Find the following probabilities. Hint: The blue marbles are different; you can label one blue-1 and the other blue-2. Similarly, each of the green marbles is different. 4a) Find P(X=1) 4b) Find...

A box contains 5 red marbles, 9 blue marbles, and 11 green marbles. We draw two...

A box contains 5 red marbles, 9 blue marbles, and 11 green marbles. We draw two marbles randomly without replacement. Which ones are correct? The probability that the first one is red equals . The probability that the first one is red and the second one is blue equals Given that the first one is NOT blue, the probability that the second marble is blue equals The probability that neither is green equals

A box contains 5 green marbles, 8 blue marbles, and 8 red marbles. Three marbles are...

A box contains 5 green marbles, 8 blue marbles, and 8 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red.

Box I contains 4 red and 8 blue marbles while box II contains 5 red and...

Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair coin is tossed – whose probability of turning up heads is 40%. If the coin comes up heads box I is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box II. Suppose after the first marble is chosen – the experiment is repeated. Assume the first marble is NOT put...

13) A box contains 5 green marbles, 6 blue marbles, and 8 red marbles. Three marbles...

13) A box contains 5 green marbles, 6 blue marbles, and 8 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red. Round your answer to four decimal places.

Suppose we draw 3 marbles from a jar containing 7 red and 5 blue marbles. At...

Suppose we draw 3 marbles from a jar containing 7 red and 5 blue marbles. At each stage, a ball is drawn and its color noted. Then the marble is returned to the jar along with another two marbles of the same color. Given that the ﬁrst marble is red, what is the probability that the next two are blue?

bag contains 7 red marbles, 5 white marbles, and 8 blue marbles. You draw 5 marbles...

bag contains 7 red marbles, 5 white marbles, and 8 blue marbles. You draw 5 marbles out at random, without replacement. What is the probability that all the marbles are red? The probability that all the marbles are red is . What is the probability that exactly two of the marbles are red? What is the probability that none of the marbles are red?

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 I contains three blue and two red marbles, Box II contains three blue and three...

Box I contains three blue and two red marbles, Box II contains three blue and three red marbles. Suppose one marble is drawn from Box I and placed in Box II and then one marble is drawn from Box II. Find the conditional probability that the marble drawn from Box I is blue given that the marble drawn from Box II is red.

A bag contains 7 red marbles, 5 white marbles, and 9 blue marbles. You draw 4...

A bag contains 7 red marbles, 5 white marbles, and 9 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red? The probability that all the marbles are red is .? What is the probability that exactly two of the marbles are red? The probability that exactly two of the marbles are red is . What is the probability that none of the marbles are red? The probability of picking no...

Subjects