One hundred draws are made at random with replacement from 1, 2, 3, 4, 5. What is the chance of getting between 8 and 32 tickets marked 5?
One hundred draws are made at random with replacement from 1, 2, 3, 4, 5. What...
One hundred draws are made at random with replacement from the box: [1,1,2,3] The draws come out as follows: 45 1’s, 23 2’s, and 32 3’s. 1. the standard deviation of the sum of the draws is: 2. the standard deviation for the number of 1’s is:
Draws are being made at random with replacement from a box. The number of draws is getting larger and larger. Say whether each of the following statements is true or false. a. The probability histogram for the sum of the draws ( when put in standard units) converges to the normal curve. b. The histogram for the numbers in the box when put in standard units converges to the normal curve. c. The histogram for the numbers drawn when you...
Eight draws are made at random with replacement from the box with numbers: 1,2,3,3,3. Find the probability of drawing exactly two 3's
3.97 Guannan draws three balls at random and without replacement from a bag that contains five balls numbered 1, 2, 3, 4, and 5. Let the random variable X denote the largest number drawn minus the smallest number drawn. What is the expected value of X?
Two draws are made at random without replacement from the digits {1,2,3,4}. Let X1 be the first digit drawn and X2 the second. Let M=max(X1,X2) and S=X1+X2. a) Find ?(?). b) Make a joint distribution table for M and S. c) Use the table in Part b to find the distribution of M. d) Find ?(?).
gambler plays roulette 100 times betting $1 on the numbers 1, 2, and 3 each time. If the ball lands on 1, 2 or 3, the gambler wins $11 and if the ball lands on any of the other numbers, the gambler loses $1. The roulette wheel has 38 slots number 1-36, 0, and 00. 5. Which is the appropriate box model? The box has 38 tickets, 3 marked "11" and 35 marked "-1" The box has 100 tickets, half...
gnment 12 (Chapters 13 & 14) due 10/24 Random EV and SE Sum.problem Statistics for Chance Numbers: EV and SE of the sum 49 draws are made at random with replacement from a box containing these 6 tickets: 5, 10, 7, 4, 2, 2 a. What is the smallest possible value the sum of the 49 draws could be? Tries 0/3 Submit Answer b. What is the largest possible value the sum could be? Tries 0/3 Submit Answer c. What...
Please answer a-f. Thanks!
A gambler plays roulette 100 times betting $1 on two numbers, 7 and 11, each time. If the ball lands on either 7 or 11 then gambler wins $17, if the ball lands on any of the other 36 numbers the gambler loses $1. The roulette wheel has 38 slots numbered 1-36, 0, and 00 a) Which is the appropriate box model? The box has 38 tickets: 1 marked "7" and 1 marked "11" and the...
1. (3 pts) A roulette wheel has 38 pockets. One is num- bered 0, another 00, and the rest are numbered fro 1- to 36. Except for 0 and 00, which are colored green, the numbers on the roulette alternate between red and black. A bet is on red or black. Suppose you bet one dollar on red. If a red number comes up, you get your dollar back and win another dollar. If a black or green number comes...
Problem 3. Consider a box with three blue and five red marbles. Suppose draws are made from the box with replacement until two red marbles are drawn. Let Y denote the number of draws required, and let X denote the number of draws it takes to obtain the first red marble. (1) Calculate P(X-s, Y t) for integers s and t, 1 3 (2) Use the above to find P(Y t). (3) Calculate P(X = sy-t) for 1 s <...