We have applied Baye's theorem to solve the problem.
boxes, n 2, and for each k E {1,...,n} the k-th box contains k watches. In...
we have four boxes. box #1 contains 2000 components of which 100 are defective. Box #2 contains 500 components of which 200 are defective. boxes #3 and #4 each contain 1000 components with 100 of them being defective. a box is selected by ruling a fair four sided die and then a single item is randomly chosen from the box. a.What is the probability that the selected component is defective? b. if the selected item is defective, find the probability...
6) Assume that we have n boxes and each one of them contains k white balls and n-k black balls. We choose a box at random and we choose two balls from it (after choosing the first one we are not allowed to put it back). Compute the probability that both balls are white.
6) Assume that we have n boxes and each one of them contains k white balls and n-k black balls. We choose a box at random and we choose two balls from it (after choosing the first one we are not allowed to put it back). Compute the probability that both balls are white.
5) Box 1 contains w white balls and b black balls. Box 2 contains w white balls and b black balls. We take one ball from Box 1 and place it into Box 2. Then we take a ball from Box 2 and place it into Box 1. Finally we take a ball from Box 1. Compute the probability that this ball is black 6) Assume that we have n boxes and each one of them contains k white balls...
A toy manufacturer inspects boxes of toys before shipment. Each box contains 12 toys. The inspection procedure consists of randomly selecting three toys from the box. If one or more of the toys are defective, the box is not shipped. Suppose that a given box has two defective toys. What is the probability that it will be shipped? a) 0.4242 b) 0.4545 c) 0.0455 d) 0.5455 e) 0.1091
You have N boxes (labeled 1,2,..., N), and you have k balls. You drop the balls into the boxes, independently of each other. For each ball the probability that it will land in a particular box is 1/N. Let Xi be the number of balls in box 1 and Xv the number of balls in box Ν. Calculate Corr(X1, XN)
3. You have N boxes (labeled 1,2,... , N), and you have k balls. You drop the balls into the boxes, independently of each other. For each ball the probability that it will land in a particular box is 1/N. Let Xi be the number of balls in box 1 and XN the number of balls in box N. Calculate Corr(X,XN)
3. You have N boxes (labeled 1,2,..., N), and you have k balls. You drop the balls into the boxes, independently of each other. For each ball the probability that it will land in a particular box is 1/N. Let Xi be the number of balls in box 1 and Xv the number of ball in bax N. Calculate Com,X)
5. Three boxes are numbered 1, 2 and 3. For k 1, 2, 3, box k contains k blue marbles and 5 - k red marbles. In a two-step experiment, a box is selected and 2 marbles are drawn from it without replacement. If the probability of selecting box k is proportional to k, then the probability that two marbles drawn have different colours is 6. Two balls are.dropped in such a way that each ball is equally likely to...
We have 2 boxes, each containing 3 balls. Box number 1 contains one black and two white balls; box number 2 contains two black and one white ball. Our friend chooses one of the boxes at random, probability of choosing box number 1 is p. Then he takes one ball from a chosen box (each of three balls can be taken chosen equally likely), and it turns out to be white. We are going to find MAP estimate for the...