An urn contains 5 balls numbered 1 to 5. Two balls are drawn
replacement Let X be the sum of the two numbers drawn.
(a). What are the possible values of X?
(b). if let X be the subtraction of the two numbers drawn.What are the possible values of X?
(c). if let X be the product of the two numbers drawn.What are the possible values of X?
(d). if let X be the Quotient of the two numbers drawn.What are the possible values of X?
a) possible values of X ={2,3,4,5,6,7,8,9,10}
b) possible values of X ={-4,-3,-2,-1,1,2,3,4}
c) possible values of X ={1,2,3,4,5,6,8,9,10,12,15,16,20,25}
d) possible values of X ={1,2,3,4,5}
An urn contains 5 balls numbered 1 to 5. Two balls are drawn replacement Let X be the sum of the ...
a-d
2. An urn contains 4 balls numbered 1,2,3,4, respectively. Two balls are drawn without replacement. Let A be the event that the first ball drawn has a 1 on it, and let B be the event tha the second ball has a 1 on it. a) Find P(BIA) b) Find P(B) c) If C is the event a 1 is drawn, find P(C). d) Find P(A IC)
An urn contains 8 balls numbered 1-8 and a ball is randomly drawn from the urn. Let A = “Ball number 2, 4 or 6 is chosen” and let B = “Ball number 3,4,5,6 or 7 is chosen”. Calculate the following probabilities: a)P(A) b) P(A') c) P(A∪B) d) P(A|B)
An urn contains three red balls numbered 1, 2, 3, five white balls numbered 4, 5, 6, 7, 8, and two black balls numbered 9, 10. A ball is drawn from the urn. (Enter your probabilities as fractions.) (a) What is the probability that it is red? (b) What is the probability that it is odd-numbered? (c) What is the probability that it is red and odd-numbered? (d) What is the probability that it is red or odd-numbered? (e) What is the probability that it...
Problem 5. An urn contains4 red and 3 green balls. Two balls are drawn randomly. a. Let Z be the number of green balls when the draws are done without replacement. Give the possible values and the pmf of 2. b. Let W be the number of green balls when the draws are done with replacement. Give the possible values and the pmf of W.
Urn A contains 5 green and 3 red balls, and urn B contains 2 green and 6 red balls. One ball is drawn from urn A and transferred to Urn b. Then one ball is drawn from urn B and transferred to urn A. Let X=the number of green balls in urn A after this process. List the possible values for X and then find the entire probability distribution for X.
Exercise 2.19. We have an urn with balls labeled 1,..., 7. Two balls are drawn. Let X1 be the number of the first ball drawn and X2 the number of the second ball drawn. By counting favorable outcomes, compute the probabilities P(X 1 = 4), P(X2 = 5), and P(X1 = 4,X 2 = 5) in cases (a) and (b) below. (a) The balls are drawn with replacement. (b) The balls are drawn without replacement. (c) Does the answer to...
An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other with replacement. What is the proba- bility that the second ball is red?
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...
An urn contains balls numbered 1 through 6. Balls are repeatedly selected one at a time and with replacement. Let Xz be the number of the selection on which the first 3 appears, and let X4 be the number of the selection on which the first 4 appears. Let Px. y. (x3|x4) be the conditional distribution of X3, given that X4 = x4. (a) Find Px, x,(5|3) (b) Find Px, x,(315)
Five balls, numbered 1, 2, 3, 4, and 5, are placed in an urn. Two balls are randomly selected from the five, and their numbers noted. Find the probability distribution for the following:a) The largest of the two sampled numbersb) The sum of the two sampled numbers