Question

In: Statistics and Probability

Suppose that a box contains 6 cameras and that 3 of them are defective. A sample...

Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random. Define the random variable XX as the number of defective cameras in the sample.

Write the probability distribution for XX.

kk P(X=kX=k)



What is the expected value of XX?

Solutions

Expert Solution

thank you.


Related Solutions

A box contains 12 items of which 3 are defective. A sample of 3 items is selected from the box
A box contains 12 items of which 3 are defective. A sample of 3 items is selected from the box. Let X denotes the number of defective item in the sample. Find the probability distribution of X. 
Box A contains 7 items of which 2 are defective, and box B contains 6 items of which 1 is defective.
Box A contains 7 items of which 2 are defective, and box B contains 6 items of which 1 is defective. If an item is drawn at random from each box. Find the probability that both items are non- defective. 1/21 19/42 10/13 25/42
A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items...
A box contains 10 items, of which 3 are defective and 7 are non-defective. Two items are randomly selected, one at a time, with replacement, and x is the number of defective items in the sample. To look up the probability of a defective item being drawn from the box, using a binomial probability table, what would be the values of n, x and p to look up?
2. Suppose a bin contains 20 manufactured parts and 4 of them are defective. Pick 3...
2. Suppose a bin contains 20 manufactured parts and 4 of them are defective. Pick 3 parts randomly from the bin, with replacement and let X be the number of defective parts picked. Pick parts repeatedly from the bin, with replacement, and let Y be the number of picks until the first defective part is observed. Find the probability mass functions for X and Y . 3. Suppose a bin contains 20 manufactured parts and 4 of them are defective....
3. Box A contains 6 red balls and 3 green balls, whereas box B contains 3...
3. Box A contains 6 red balls and 3 green balls, whereas box B contains 3 red ball and 15 green balls. Stage one:One box is selected at random in such a way that box A is selected with probability 1/5 and box B is selected with probability 4/5. Stage two: First, suppose that 1 ball is selected at random from the box selected at stage one. a) What is the probability that the ball is red? b) Given that...
Box A contains 6 red balls and 3 green balls, whereas box B contains 3 red...
Box A contains 6 red balls and 3 green balls, whereas box B contains 3 red ball and 15 green balls. Stage one. One box is selected at random in such a way that box A is selected with probability 1/5 and box B is selected with probability 4/5. Stage two. Finally, suppose that two balls are selected at random with replacement from the box selected at stage one. g) What is the probability that both balls are red? h)...
A box of manufactured items contains 12 items of which 4 are defective. If 3 items...
A box of manufactured items contains 12 items of which 4 are defective. If 3 items are drawn at random without replacement, what is the probability that: 1. The first one is defective and rest are good 2. Exactly one of three is defective
In a box of 12 light bulbs, it is known that 5 of them are defective....
In a box of 12 light bulbs, it is known that 5 of them are defective. That is, 5 are defective and 7 function properly. We select 2 bulbs from the bag at random, without replacement. Find the probability they both function properly. Show work. Round your answer to 3 decimal places.
Suppose a large consignment of cameras contained 6% defectives. If a sample of size 226 is...
Suppose a large consignment of cameras contained 6% defectives. If a sample of size 226 is selcted what is the probablity that the sample proportion will differ from the population proportion by less than 3%? Round answer to four decimal places
Suppose that in a production run of 40 units, 6 are defective. A sample of four...
Suppose that in a production run of 40 units, 6 are defective. A sample of four units is to be randomly drawn from the forty. What is the probability that 2 or more are defective if the samples are drawn: a) With replacement? b) Without replacement? For part b, just show how you would set up the problem – there is no need to perform the actual calculations. Please show steps and explain.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT