The budgeting process for a midwestern college resulted in expense forecasts for the coming year (in $ millions) of $9, $10, $11, $12, and $13. Because the actual expenses are unknown, the following respective probabilities are assigned: .3, .2, .25, .05, and .2.

a. Show the probability distribution for the expense forecast.
b. What is the expected value of the expense forecast for the coming year?
c. What is the variance of the expense forecast for the coming year?
d. If income projections for the year are estimated at $12 million, comment on the financial position of the college.

Molly plans to sew together a costume for the school play. She has one of each of the following colors

of buttons in her pocket:

· Black

· Green

· Red

· White

All of the buttons are the same size and shape.

Molly will select one button from her pocket without looking.

1) What is the probability that she will select a red button? Show or explain your answer.

Molly also has a bag of ribbons made of the same material and are all the same size. She has one each

of the following colors of ribbon in her bag:

· Black

· White

· Yellow

Molly will select one button from her pocket and one ribbon from her bag without looking.

2) Make a tree diagram or organized list showing all the possible combinations of one button and one ribbon

that Molly could select.

3) What is the probability that Molly will select a black button and a black ribbon? Show or explain how you got

your answer.

4) What is the probability that Molly will select a button and a ribbon that are different colors from each other?

Show or explain how you got your answer

step-by-step explanation:

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )