Question

Each of the cereal boxes contains one of n differnt coupons, chosen at random. if you...

Each of the cereal boxes contains one of n differnt coupons, chosen at random. if you buy k boxes, what is the probability that you have a complete collection?
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Total number of coupons = k as there is 1 coupon in each box.

Let the number of first type of coupon be X1, second type of coupon be X2 and so on till Xn as the number of coupons which is nth type of coupon.

Therefore, we have here:
X1 + X2 + ...... + Xn = k

As each one of them could be greater than or equal to 0. The total number of solutions here is given using the multinomial formula as:

Also given that we want the number of each type of coupon to be at least 1, therefore the number of solutions in that case is computed using the multinomial formula as:

Therefore the required probability here is computed as:

This is the required probability here.

0 0
Know the answer?
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
Similar Questions
Aja's favorite cereal is running a promotion that says 1-in-4 boxes of the cereal contain a...
Aja's favorite cereal is running a promotion that says 1-in-4 boxes of the cereal contain a prize. Suppose that Aja is going to buy 5 boxes of this cereal, and let X represent the number of prizes she wins in these boxes. Assume that these boxes represent a random sample, and assume that prizes are independent between boxes. What is the probability that she wins at most 1 prize in the 5 boxes?
A closet contains n distinct pairs of shoes. If 2r shoes are chosen at random (and...
A closet contains n distinct pairs of shoes. If 2r shoes are chosen at random (and 0≤2r < n), What about exactly one complete pair?
You purchase boxes of cereal until you obtain one with the collector's toy you want. If,...
You purchase boxes of cereal until you obtain one with the collector's toy you want. If, on average, you get the toy you want in every 43rd cereal box, what is the probability of getting the toy you want in any given cereal box? (Round your answer to 3 decimal places.)
A magic bag contains infinitely many balls labeled 1 to n with each ball being equally...
A magic bag contains infinitely many balls labeled 1 to n with each ball being equally likely to be drawn from the bag. There are also n boxes labeled 1 to n. Suppose you fill the boxes by choosing a random ball from the magic bag. A match occurs when the ball labeled i is placed in the box labeled i. For an arbitrary k in {0,1,...,n} what is the probability that you have k matches? What is the probability...
5. There are 10 cereal boxes on the store shelf. 4 of the boxes are known...
5. There are 10 cereal boxes on the store shelf. 4 of the boxes are known to have prizes. You select 3 boxes. Use four decimal places a. What probability distribution works best for this problem? Binomial, Poisson, Hypergeometric, Normal b. What is the expected number of selected cereal boxes with prizes? (2 decimal places) c. What is the probability you get 1 prize? (4 decimal places) d. What the probability you get 2 prizes? (4 decimal places) e. What...
A cereal is promoting famous people to try to sell more of their product. One third...
A cereal is promoting famous people to try to sell more of their product. One third of the cereal boxes contained an action figure of Mike Trout, one third had a poster of Yasiel Puig, and one third had a singing to the tune of New York, New York bobble head of Derek Jeter. Suppose you buy 5 boxes of cereal. Conduct a simulation (do 10 runs) to estimate the probability that you end up with a complete set.
Suppose that the weight of open boxes of cereal in a home with children is uniformly...
Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from one to three pounds with a mean of two pounds and standard deviation of 0.5774. We randomly survey 64 homes with children. Part (a) In words, define the random variable X. the weight, in pounds, of the children in the homethe weight, in pounds, of open boxes of cereal    the number of open boxes of cereal in the homethe number of children in...
1. Lloyd’s Cereal Company packages cereal in 1-pound boxes (1 pound = 16 ounces). It is...
1. Lloyd’s Cereal Company packages cereal in 1-pound boxes (1 pound = 16 ounces). It is assumed that the amount of cereal per box varies according to a normal distribution with a mean of 1 pound and a standard deviation of 0.08 pound. One box is selected at random from the production line every hour, and if the weight is less than 14 ounces, the machine is adjusted to increase the amount of cereal dispensed. The probability that the amount...
There are 11 boxes, one of the boxes contained a bomb and the others each contains...
There are 11 boxes, one of the boxes contained a bomb and the others each contains Ai coins for i=1...10 what's the expected value of coins you get from picking m boxes among these 11 boxes. (if you pick the bomb you get nothing)
During 2017, General Mills Cereal Company included one coupon in each box of cereal, and sold...
During 2017, General Mills Cereal Company included one coupon in each box of cereal, and sold 400,000 boxes. For every 10 coupons turned in by a customer with cash of $2, General Mills provided the customer a free silver spoon. The cost of the spoons was $5.00 each and postage of $.50. The company estimated 75% of the coupons would be redeemed. Actual spoons claimed were 28,000 (280,000 coupons submitted).       Post activity to the t-accounts below and compute the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT