Problem 2. Consider the following game that you play with your friend. There is a referee who will áip a coin. You and your friend will guess the outcome (Head or Tail) of this random experiment. If your guess is the same as your friend, you lose $3 if the guess is Head and you lose $1 if your guess is Tail. If your guess is di§erent from your friend, you win $2. Suppose that both you and your friend think that the probability of observing Head is 1/2. What is the expectation of the money you will win from this game? (Hint: the R function to generate a Bernoulli random variable is rbinom(1,1,p)).

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

asdasdsad

step-by-step explanation: