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 the 1 , then X = 2 and Y-1 +2 = 3. a./...
A state lotery randomly chooses 7 balls numbered from 1 through 39 without replacement. You choose represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If values n, p, and q and list the possible values of the random variable x. 7 numbers and purchase a lottery ticket. The random variable so, identify a success, specify the Is the experiment binomial? O A. O B. Yes, the probability...
One thousand raffle tickets are sold at $1 each. Three tickets will be drawn at random (without replacement), and each will pay $198. Suppose you buy 5 tickets. (A) Create a payoff table for 0, 1, 2, and 3 winning tickets among the 5 tickets you purchased. (If you do not have any winning tickets, you lose $5, if you have 1 winning ticket, you net $193 since your initial $5 will not be returned to you, and so on.)...
8.5.43 Question Help One thousand raffle tickets are sold at $1 each. Three tickets will be drawn at random (without replacement), and each will pay $205. Suppose you buy 5 tickets. (A) Create a payoff table for 0, 1, 2, and 3 winning tickets among the 5 tickets you purchased. (If you do not have any winning tickets, you lose $5, if you have 1 winning ticket, you net $200 since your initial $5 will not be returned to you,...
9. A box contains 9 tickets numbered from 1 to 9 (inclusive). If 3 tickets are drawn from the box one at a time without replacement, find the probability they are alternately either fodd, even odd or feven, odd, even.
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...
A box contains ten sealed envelopes numbered 1. 10. The first three contain no money, the next five each contains $5, and there is a $10 bil in each of the last two. A sample of size 3 is selected with replacement (so we have a random sample), and you get the largest amount in any of the envelopes selected. If X, X, and X, denote the amounts in the selected envelopes, the statistic of interest is the maximum of...
Out of (2n + 1) tickets consecutively numbered starting with 1, three are drawn at random. Find the chance that the numbers on them are in A.P.
A chance experiment consists of drawing a raffle ticket from a box of tickets numbered 1, · · · , 40. Let Ω represent the sample space for this experiment. Since we select one ticket at random, Ω is an equally-likely sample space. Let E1,··· ,E8 where Ei ⊂ Ω be a partition of Ω defined as: E1 = {1,3,5,7,9}, E2 = {11,13,15,17,19}, E3 = {21,23,25,27,29}, E4 = {31,33,35,37,39}, E5 = {2,4,6,8}, E6 = {10,12,14,16,18}, E7 = {20,22,24,26,28}, E8 =...
2. (a) Die #1 has 6 sides numbered 1, . . . , 6 and die #2 has 8 sides numbered 1, . . . , 8. One of these two dice is chosen at random and rolled 10 times. Find the conditional probability that you have selected die #1 given that precisely three 1’s were rolled. (b) Let X and Y be independent Poisson random variables with mean 1. Are X − Y and X + Y independent? Justify...