An urn contains 7 red and 10 blue balls. If 4 balls are to be randomly...

An urn contains 7 red and 10 blue balls. If 4 balls are to be randomly selected without replacement, what is the probability that the first 2 selected are red and the last 2 selected are blue? Explain each step ?

Expert Solution

orchestra answered 1 year ago

An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball,...

An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball, and a player is to draw one ball. If it is black, he wins $1, if it is red, he wins $2, if it is white he wins $3 and if it is blue, he pay $25. a. Set up the empirical probability distribution for the random variable X, the payoff of the game. Game Payoff (X) Probability [P(X) $1 $2 $3 $4 b....

An urn contains 4 white balls and 6 red balls. A second urn contains 7 white...

An urn contains 4 white balls and 6 red balls. A second urn contains 7 white balls and 3 red balls. An urn is selected, and the probability of selecting the first urn is 0.1. A ball is drawn from the selected urn and replaced. Then another ball is drawn and replaced from the same urn. If both balls are white, what are the following probabilities? (Round your answers to three decimal places.) - (a) the probability that the urn...

An urn contains 6 red balls, 7 white balls, and 8 blue balls. a) If three...

An urn contains 6 red balls, 7 white balls, and 8 blue balls. a) If three balls are sampled without replacement, find probability that all are different colors b) If three balls are sampled with replacement, find the probability that are different colors. c) i n balls sampled with replacement, find probability that all are red. d) If nballs sampled with replacement, find the probability that all are the same color.

Urn 1 contains 8 green balls and 10 red balls. Urn 2 contains 7 green balls...

Urn 1 contains 8 green balls and 10 red balls. Urn 2 contains 7 green balls and 5 red balls. A die is rolled, if a 1 or 2 is rolled, a ball is chosen from urn 1, if a 3, 4, 5, or 6 is rolled, a balls is chosen from urn 2. What is the probability of selecting a green ball? Please show all work.

An urn contains 6 red balls and 4 green balls. A sample of 7 balls is...

An urn contains 6 red balls and 4 green balls. A sample of 7 balls is selected at random. a. How many different samples are possible? b. How many samples contain 5 red and 2 green balls? c. How many sample contain all red balls? d. How many samples contain at least 4 red balls? e. What is the probability in a draw of 7 balls there is 3 red and 4 green?

An urn contains 10 red balls and 5 green balls. Balls are randomly selected, one at...

An urn contains 10 red balls and 5 green balls. Balls are randomly selected, one at a time, with replacement, until a red one is obtained. What is the probability that exactly k draws are needed? What is the probability that at least k draws are needed? Define a random variable associated with this experiment. Determine its probability mass function and cumulative distribution function, sketch their graphs. Find the expectation, variance and standard deviation of X.

An urn contains 5 red, 3 orange, and 2 blue balls. Two balls are randomly selected...

An urn contains 5 red, 3 orange, and 2 blue balls. Two balls are randomly selected simultaneously. (a) What is the sample space? (b) Define an RV X as the number of orange balls selected. Show the map from the sample space to X. (c) Find the PMF of X. (d) Find the CDF of X. i have the solutions can one show how to find the probablity on 4c

An urn contains 10 red and 12 blue balls. They are withdrawn one at a time...

An urn contains 10 red and 12 blue balls. They are withdrawn one at a time without replacement until a total of 4 red balls have been withdrawn. Find the probability that exactly 7 balls withdrawn/

An urn contains colored balls;5 red balls, 8 green balls, and 10 blue balls. Suppose ...

An urn contains colored balls;5 red balls, 8 green balls, and 10 blue balls. Suppose  If the 3 balls are drawn one after another without replacement, what is the probability that the colors observed will be Red, Green, Blue in this order?  If the three balls are drawn simultaneously from the urn (without replacement), what is the probability that the selected balls will be all different?

An urn contains 4 red balls and 3 green balls. Two balls are sampled randomly. Let...

An urn contains 4 red balls and 3 green balls. Two balls are sampled randomly. Let W denote the number of green balls in the sample when the draws are done with replacement. Give the possible values and the PMF of W.

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