1.There are twenty stores for a grocery chain in the Mid-Atlantic region.The regional executive wants to visit five of the twenty stores.She asks her assistant to choose five stores and arrange the visit schedule.

a.Does the order matter in the scheduling?

b.Based on your answer to part (a), should we use permutation or combination to find the different schedules that the assistance may have?

c.How many different schedules can the assistant recommend?

2.Imagine you are in a game show.There are 10 prizes hidden on a game board with 100 spaces.One prize is worth $50, three are worth $20, and another six are worth $10.You have to pay $5 to the host if your choice is not correct.Let the random variable x be the winning.

a.Complete the following probability distribution.(Show the probability in fraction format and explain your work)

x

P(x)

-$5

$10

$20

$50

b.What is your expected winning or loss in this game?Be specific in your answer whether it's winning or loss.(Show your work and round the answer to two decimal places)

c.What is the standard deviation of the probability distribution?(Show your work and round the answer to two decimal places)