There is a bag full of balls numbered 1 to k. As you reach in to...
There is a bag full of balls numbered 1 to k. As you reach in to pick one, he notes that they are not all equally likely because of magic: ball 1 is least likely to be chosen, with probability c, where c is some constant. Ball 2 has probability 2c, Ball 3 has probability 3c, . . . , Ball k - 1 has probability (k - 1)c, and Ball k has probability kc. What is the expected value of the ball number you pick? Your answer can't use the constant c but will use k.
Homework Answers
thank youTwo balls are drawn, without replacement, from a bag containing 13 red balls numbered 1−13 and...
Two balls are drawn, without replacement, from a bag containing 13 red balls numbered 1−13 and 4 white balls numbered 14−17. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is red, given that the first ball is white? (b) What is the probability that both balls are even-numbered? (c) What is the probability that the first ball is red and even-numbered and the second ball is even-numbered?
There are 1 0 balls in a bag, 4 red balls, 2 black balls, and 4...
There are 1 0 balls in a bag, 4 red balls, 2 black balls, and 4 yellow balls. Every time you can pick one ball without replacement. Now you pick 2 times. (1) How likely you will have 2 black ball ls if you pick 2 times. (2) How likely you will have one red ball and one yellow ball if you pick 2 times. (3) How likely you will have at least one yellow balls. Can someone explain it...
A ball is drawn from a bag containing 13 red balls numbered 1-13 and 3 white...
A ball is drawn from a bag containing 13 red balls numbered 1-13 and 3 white balls numbered 14-16. (Enter your probabilities as fractions.) (a) What is the probability that the ball is not even-numbered? (b) What is the probability that the ball is red and even-numbered? (c) What is the probability that the ball is red or even-numbered? (d) What is the probability that the ball is neither red nor even-numbered?
Find the indicated probability. A bag contains 15 balls numbered 1 through 15. What is the...
Find the indicated probability. A bag contains 15 balls numbered 1 through 15. What is the probability that a randomly selected ball has an even number? 15
100 balls are numbered from 1 to 100 and put in a bag. 5 are drawn...
100 balls are numbered from 1 to 100 and put in a bag. 5 are drawn without replacement If no e of them is even numbered what is the probability that at least oe of them has a number greater than 94
3. An urn contains five white balls numbered from 1 to 5, five red balls numbered...
3. An urn contains five white balls numbered from 1 to 5, five red balls numbered from 1 to 5 and five blue balls numbered from 1 to 5. For each of the following questions, please give your answer first in the form that reflects your counting process, and then simplify that to a number. You must include the recipes. No other explanation needed. (a) In how many ways can we choose 4 balls from the urn? (b) in how...
A bag contains numbered balls 1, 2 and 3. Two balls are sampled without replacement. Let...
A bag contains numbered balls 1, 2 and 3. Two balls are sampled without replacement. Let X1 be the number on the first ball and let X2 be the number on the second ball sampled. Find the probability mass function of the sample mean (X1 + X2)/2.
A bag contains 3 red and 1 orange ball. You pick two balls from the bag...
A bag contains 3 red and 1 orange ball. You pick two balls from the bag with replacement. What is the probability that you will get two orange balls?
A bag contains 3 red and 1 orange ball. You pick two balls from the bag...
A bag contains 3 red and 1 orange ball. You pick two balls from the bag with replacement. What is the probability that you will get two orange balls? 1/4 0 1/12 1/16
A bag contains 80 balls numbered 1, . . . , 80. Before the game starts,...
A bag contains 80 balls numbered 1, . . . , 80. Before the game starts, you choose 10 different numbers from amongst 1, . . . , 80 and write them on a piece of paper. Then 20 balls are selected (without replacement) out of the bag at random. (a) What is the probability that all your numbers are selected? (b) What is the probability that none of your numbers is selected? (c) What is the probability that exactly...
Find the indicated probability. A bag contains 15 balls numbered 1 through 15. What is the probability that a randomly selected ball has an even number? 15
3. An urn contains five white balls numbered from 1 to 5, five red balls numbered from 1 to 5 and five blue balls numbered from 1 to 5. For each of the following questions, please give your answer first in the form that reflects your counting process, and then simplify that to a number. You must include the recipes. No other explanation needed. (a) In how many ways can we choose 4 balls from the urn? (b) in how...
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