HomeworkLib
Question

A box contains seven chips, each of which is numbered (one number on each chip). The number 1 appears on one chip. The number 4 appears on one chip. The number 2 appears on three chips. The number 3 appears on two chips. Two chips are to be randomly sampled from the box without replacement. Let X be the sum of the numbers on the two chips to be sampled. (a) Write out all of the possible outcomes for this experiment, together with the corresponding X values. Give the probability function for X. (Note that the number of outcomes will be different in part (a), depending upon whether you use combinations or permutations, but the probability function for X in part (b) will be the same). Calculate E(X)-px , V(X)-0x2 , and ơx. When two chips are randomly sampled from the box without replacement, what can you expect the sum of the numbers on the two chips selected to be? If this experiment is to be performed 8600 times, (i) (b) (c) (d) (e) how many times out of the 8600 trials will the numbers on the two chips selected sum to 4? what will the numbers on the 17200 chips selected sum to? (ii)

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

he posible out cemes, ase Griven, x 3,4,5,6, : . The probability distribution of x is, 3 2. 1 ,2구 at ス! ス! 只1 沒( Vaa(x): E(x)-E2(x): 24952h-(48571) .36lo ④ Expected sum of numbesg: h8571 @naoox읊 : ho95.238-4095 a l

0 0
Add a comment
Know the answer?
Add Answer to:
A box contains seven chips, each of which is numbered (one number on each chip). The...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • A box contains 15 red, 25 blue, and 35 white poker chips. An experiment consists of...

    A box contains 15 red, 25 blue, and 35 white poker chips. An experiment consists of drawing two chips randomly without replacement. What is the probability that: Both chips are white? A red then a blue chip? A white then a red chip?

  • 10 point A box contains three defective and seven non defective chips. Three chips are drawn...

    10 point A box contains three defective and seven non defective chips. Three chips are drawn randomly without replacement one after the other. Let X be the # of defective chips. Using hyper geometric model construct the probability distribution of X and show that it fulfills the two conditions of probability distribution. Also find E(X) 1 Add file Page 2 Back Submit LALAR

  • A bag contains 10 red chips and 6 blue chips. Two chips are selected randomly without...

    A bag contains 10 red chips and 6 blue chips. Two chips are selected randomly without replacement from the bag. a) Find the probability that the second is a red chip, given that the first was a blue chip. b) Find the probability that the two chips have different colors.

  • Two identical boxes have chips in them. Box I has 4 blue chips and 2 red...

    Two identical boxes have chips in them. Box I has 4 blue chips and 2 red chips. Box II has 2 blue chips and 6 red chips. A box is randomly selected, and one chip is randomly drawn. a) What is the probability of drawing a red chip? b) Given that Box I was chosen, what is the probability of drawing a red chip? c) Based on your answers in parts a & b, are the events “drawing 1 red...

  • 5. Two identical boxes have chips in them. Box I has 4 blue chips and 2...

    5. Two identical boxes have chips in them. Box I has 4 blue chips and 2 red chips. Box II has 2 blue chips and 6 red chips. A box is randomly selected, and one chip is randomly drawn. a) What is the probability of drawing a red chip? b) Given that Box I was chosen, what is the probability of drawing a red chip? c) Based on your answers in parts a & b, are the events “drawing 1...

  • A box contains 5 chips marked 1,2,3,4, and 5. One chip is drawn at random, the...

    A box contains 5 chips marked 1,2,3,4, and 5. One chip is drawn at random, the number on it is noted, and the chip is replaced. The process is repeated with another chip. Let X1,X2, and X3 the outcomes of the three draws which can be viewed as a random sample of size 3 from a uniform distribution on integers. a [10 points] What is population from which these random samples are drawn? Find the mean (µ) and variance of...

  • " 5. (9 pts) A lot of 100 semiconductor chips contain 20 that are defective. Chips...

    " 5. (9 pts) A lot of 100 semiconductor chips contain 20 that are defective. Chips are selected randomly for quality inspection. (e)-2 - a. Two chips are selected sequentially at random, without replacement, from the lot. Deternine the probabiliy that the second chip selected is defective. 3 pts) X -2 .Thee chips are selected, at random, without replacement, from the lot. Determine the probability that all are defective. (3 pts) o 3-03

  • 1. In a box there are three numbered tickets. The numbers are 0, 1 and 2. You have to select (blindfolded) two tickets one after the other, without replacement. Define the random variable X as the...

    1. In a box there are three numbered tickets. The numbers are 0, 1 and 2. You have to select (blindfolded) two tickets one after the other, without replacement. Define the random variable X as the number on the first ticket and the random variable Y as the sum of the numbers on your selected two tickets. E.g. if you selected first the 2 and second time the 1 , then X = 2 and Y-1 +2 = 3. a./...

  • 1. In a box there are three numbered tickets. The numbers are 0, 1 and 2....

    1. In a box there are three numbered tickets. The numbers are 0, 1 and 2. You have to select (blindfolded) two tickets one after the other, without replacement. Define the random variable X as the number on the first ticket and the random variable Y as the sum of the numbers on your selected two tickets. E.g. if you selected first the 2 and second time 2 and Y = 1 + 2-3. the 1 , then X a./...

  • 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

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT