5. Five bowls are labeled 1 - 5. Bowl j contains j white and 5-j red balls. Example: Bowl 2 contains 2 white and 3 red balls. One bowl is selected at random and two balls are selected (without replacement).
(a) What is the probability both balls are white?
(b) What is the probability both balls are red?
(c) What is the probability one ball is red and one ball is white?
(d) Write out the probability distribution for the number of white balls?
(e) What is the expected number of white balls selected.
(f) Let X be the random variable for the number of white balls selected. Find the E(X2 ).
5. Five bowls are labeled 1 - 5. Bowl j contains j white and 5-j red...
A bowl contains 5 blue balls, 3 red balls and 2 green balls. If two balls are drawn successively at random without replacement, what is the probability of: (a) drawing a red ball on each of the two draws? (b) drawing a red ball on the second draw? (c) drawing a red ball on at least one of the two draws? (d) red on the first draw and blue on the second draw? (e) blue on the first draw given...
Problems 9 and 10 A box contains 2 red balls, 3 white and 1 blue balls. Three balls are selected at random without replacement Find the probability that at most one ballis red. (C) 00.2 01 O 0.6 0.12 0.8 Question 10 2 pts A box contains 2 red balls, 3 white and 1 blue balls. Three balls are selected at random without replacement Find the probability that {at most one ball is red (C) given that at least one...
Refer to Example 4.40. An urn contains six red balls, six white balls, and six blue balls, and sample of four balls is drawn at random without replacement. Compute the probability that all of the balls in the sample are the same color. (Round your answer to four decimal places.) b) An urn contains eight red balls, eight white balls, and eight blue balls, and sample of five balls is drawn at random without replacement. Compute the probability that the...
(+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 ?
An urn contains 5 blue balls, 5 white balls, 5 red balls, and 5 green balls. Larry is selecting 4 balls at random one after the other without replacement. What is the probability that at least one of the selected balls is blue?
(5) A box contains 4 red and 6 white balls. If two balls are drawn at random without replacement, find the probability that one of the two is red (6) A box contains 4 red and 6 white balls. If two balls are drawn at random with replacement, find the probability that one of the two is red
An urn contains 7 white, 3 red and 10 black balls. If five balls are drawn at random, find the probability that at least one red ball is selected.
If a bag contains: 5 White Balls, 6 Red Balls, and 9 Black Balls, what is the probability of pulling out: a. A black or white ball b. A white ball c. A white ball and then a black ball without replacement? d. A white ball and then a black ball with replacement?
Bag A contains two balls, one red and one white and Bag B contains two white balls. A bag is selected at random, and one ball is taken at random from that bag. If the selected ball is white, what is the probability that the other ball in the bag is red? Give your answer as a fraction in its simplest form.