Consider the following definitions for sets of characters: You are given a six-sided die (D6) and a four-sideddie (D4). The D6 is weighted so the 6 is three times as likely as any other individual side. The D4 is weightedso the 2 is twice as likely as the 1, the 3 is three times as likely as the 1, and the 4 is four times as likely asthe 1.a What is the probability distribution of the D6? (i.e. specify the probability of each outcome)b What is the probability distribution of the D4? (i.e. specify the probability of each outcome)c You roll both dice. What is the probability that you roll a sum of 7?d You roll both dice. What is the probability that you roll a sum of 11?

a.)In order to formulate the probability distribution of the D6, we will first assign weights for…

Answered: Consider the following definitions for…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter11: Nonlinear Programming

Section11.10: Quadratic Programming

Problem 1P

See similar textbooks

Similar questions

6. AND Since there are two zeros on the board, let's determine the probability that you would be able to cover them on 2 consecutive turns. This means you'd have to roll a zero and then roll another zero. You can think of this as an AND probability. You need to roll 0 AND then you need to roll 0 again. Since the result of the first roll will have no influence on the result of the second roll, you can use the following rule: P(A and B) = P(A) * P(B) a) Determine P(0 and 0). b) Determine 1 - P(0 and 0). c) Write a sentence describing the meaning of 1 - P( Oand 0 ).
A box contains three fair coins, and two trick coins that have heads on both sides.(a) What is the probability that a randomly selected coin from the box will come up heads whenflipped? (b) Suppose you randomly pick a coin from the box and flip it, and it comes up heads. What is theprobability that it’s one of the trick coins? (c) Let X be the random variable that represents the number of heads when every coin in the box isflipped. What is the probability distribution of X? (Hint: you can try counting all the outcomes,or you can remember that coin flips are independent of each other.) (d) What is the expected number of heads when all the coins are flipped?Page 2
Suppose for an international football tournament, you wish to find the probability of the country who can win the final game. You can find the odds for winning from your local bookie [A bookie sets odds, accepts and places bets, and pays out winnings on behalf of other people]. Odds are mathematically treated as a fraction. If the odds for the Morocco vs Argentina game are 5 to 1, the fraction is 1 / 5. So to convert the fraction into probability of winning, take the numerator and divide it by the denominator plus 1. Use the Frac.class in Java to help you convert any given odds into probability. Display your result as a percentage on you console.
You have a sample of data but are unsure what distribution it comes from. You plot it on 5 different types of probability paper to determine which has the best fit. Comparing the 5 different plots, how do you decide which distribution is the best fit? The plot with the straightest line is the best fit The plot with a cluster of values in the middle is the best fit The plot with the most curved line is the best fit The plot which has the values spread out the most is the best fit (response not displayed)
: You have a basketball hoop and someone says that you can play one of two games.Game 1: You get one shot to make the hoop.Game 2: You get three shots and you have to make two of three shots.If p is the probability of making a particular shot, for which values of p should you pick one gameor the other?
A and B stand in a line at random with 10 other people. What is the probability that there are exactly 3 people between A and B?
2. A box contains three fair coins, and two trick coins that have heads on both sides. (a) What is the probability that a randomly selected coin from the box will come up heads when flipped? (b) Suppose you randomly pick a coin from the box and flip it, and it comes up heads. What is the probability that it's one of the trick coins? (c) Let X be the random variable that represents the number of heads when every coin in the box is flipped. What is the probability distribution of X? (Hint: you can try counting all the outcomes, or you can remember that coin flips are independent of each other.) (d) What is the expected number of heads when all the coins are flipped?
Using the Gaussian Probability Density function write a function that will calculate the probability that variable x will be in the range µ − ασ < x < µ + ασ, where α is some multiple of the variance.
Need part c and d only
The random variable X and Y are independent. The random variable X has the probability distribution P(X=0) = 0.4 and P(X=1) = 0.6. The random variable Y has the probability %3D distribution P(Y=0) = 0.2 and P(Y=3) = 0.8. Fill the following Joint distribution table: Y P(X,Y) 3 1 1 Note: round your answer to decimal places.
We have a basket of 12 fruits, 3 red apples, 4 yellow bananas, and 5 yellow clementines. We pick one piece of fruit uniformly at random. Given that we pick a yellow fruit, what is the probability that we picked a banana? The probability is the rational number p/q where p is ________________ q is_________________
A thief is about to rob the house. The cops are on their way. He has to quickly fill his bag and escape. Considering the items listed below, list the items to include in his bag so that the total weight is less than or equal to 10kg (the weight limit) and the total benefit is maximized. TV: 5kg - 9$ Jewelry : 2kg - 7$ (probably imitation) Clock : 2kg - 3$ An old radio : 4kg - 2$ Show me the array representation, if you want to take full credits.

SEE MORE QUESTIONS

Recommended textbooks for you

Operations Research : Applications and Algorithms

Computer Science

ISBN:

9780534380588

Author:

Wayne L. Winston

Publisher:

Brooks Cole

Operations Research : Applications and Algorithms

Computer Science

ISBN:

9780534380588

Author:

Wayne L. Winston

Publisher:

Brooks Cole

SEE MORE TEXTBOOKS