Homework Answers
From a box with 5 balls numbered from 1 to 5, we draw a ball 500...
From a box with 5 balls numbered from 1 to 5, we draw a ball 500 times with replacement. Approximate the probability that we will draw the ball with the number “1” less than 80 times.
We roll a die until the sum of points obtained exceeds 350. Approximate the probability that...
We roll a die until the sum of points obtained exceeds 350. Approximate the probability that we will roll more than 120 times.
Suppose that a person plays a game in which he draws a ball from a box of 6 balls numbered 1 through 6. He then puts he...
Suppose that a person plays a game in which he draws a ball from a box of 6 balls numbered 1 through 6. He then puts he ball back and continues to draw a ball (with replacement) until he draws another number which is equal or higher than the first draw. Let X and Y denote the number drawn in the first and last try. respectively. a) Find the probability distribution of X (The first draw) b) Find the probability...
Upon entering the jail, you draw a ball from a box containing 3 balls numbered 0,...
Upon entering the jail, you draw a ball from a box containing 3 balls numbered 0, 1 and 3 respectively. If you draw the ball numbered 0, you get out of jail immediately. If you draw 1 or 3, you put the ball back in the box and serve that many years in jail, at which time you draw again. This is repeated, until you draw the zero and go free. How long do you expect to be in jail?...
There are balls numbered 1, 2, 3, 4, 5, 6, 7 in a box, 2 balls...
There are balls numbered 1, 2, 3, 4, 5, 6, 7 in a box, 2 balls are drawn in succession at random without replacement, and the number on each ball is noted. What is the probability that exactly one ball has an even number? (A) 3/14 (B) 2/7 (C) 3/7 (D) 12/49 (E) 4/7
Question 5 A box contains balls numbered 1, .,.,a. A ball is drawn at random: (a)...
Question 5 A box contains balls numbered 1, .,.,a. A ball is drawn at random: (a) What is the probability that its label number is divisible by 3 or 4? (b) What is the probability in (a) as noo?
A box contains 9 balls numbered from 3 to 11. If 4 random balls are selected...
A box contains 9 balls numbered from 3 to 11. If 4 random balls are selected (without replacement), what is the probability that the sum of the numbers is even? (explain please) Thanks for the help
A ball is selected from an box containing two black balls, numbered 1 and 2, and...
A ball is selected from an box containing two black balls, numbered 1 and 2, and two white balls, numbered 3 and 4. Let the events A, B, and Cbe defined as follows: A-b). (2, b)3. "black ball selected": B (2.b). (4,w)), "even-numbered ball selected": and (3, w). (4, w)). "number of ball is greater than 2." Are events A and B independent? Are events A and C independent? Please show your proofs.
A box contains 5 green balls. We choose balls at random, with replacement, according to the...
A box contains 5 green balls. We choose balls at random, with replacement, according to the following rules: (i) Upon choosing each ball from the box, we mark it with a red stripe before replacing it in the box. (ii) We stop as soon as we choose a ball with a red stripe (i.e. the ball has been chosen twice). Let x= the number of times that balls were chosen from the box. (Note that x must be at least...
Two 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?
Question 5 A box contains balls numbered 1, .,.,a. A ball is drawn at random: (a) What is the probability that its label number is divisible by 3 or 4? (b) What is the probability in (a) as noo?
A ball is selected from an box containing two black balls, numbered 1 and 2, and two white balls, numbered 3 and 4. Let the events A, B, and Cbe defined as follows: A-b). (2, b)3. "black ball selected": B (2.b). (4,w)), "even-numbered ball selected": and (3, w). (4, w)). "number of ball is greater than 2." Are events A and B independent? Are events A and C independent? Please show your proofs.
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