Can someone help me with the last two questions(not just the answer but how i would get it so i know how to do the math) and let me know if what I have done is correct.

A school newspaper reporter decides to randomly survey 12 students to see if they will attend Tet (Vietnamese New

Year) festivities this year. Based on past years, she knows that 18% of students attend Tet festivities. We are interested in

the number of students who will attend the festivities.

a.In words, define the random variableX

the random variable x is a random variable that gives you the number of students who will attend tet(vietnamese new year)

b.List the values thatXmay take on.

0,1,2,3,4,5,6,7,8,9,10,11,12

c.Give the distribution ofX.X ~ _____(_____,_____)

x~B(12,0.18)

d.How many of the 12 students do we expect to attend the festivities?

12*0.18=2.16

e.Find the probability that at most four students will attend.

f.Find the probability that more than two students will attend