Question

A school newspaper reporter decides to randomly survey 17 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.

Part a)

• In words, define the Random Variable X.

  A) the number of students in the school

• B) the types of festivities offered at the school    

• C) the number of students that will attend Tet

• D) the school newspaper

• Part (b)

  List the values that X may take on.

  A) X = 0, 1, 2, ..., 18

• B) X = 0, 1, 2, ..., 17     

• C) X = 1, 2, 3, ..., 18

• D) X = 1, 2, 3, ..., 17

• Part (c)

  Give the distribution of X.
  X ~ (_,_)

• Part (d)

  How many of the 17 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)
  student(s) _

• Part (e)

• 
  

• Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)_

• Part (f)

  Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)_

Answer 1

Part a)

In words, define the Random Variable X.

C) the number of students that will attend the festivities

Part (b)

List the values that X may take on.

B) X = 0, 1, 2, ..., 17     

Part (c)

Give the distribution of X.
X ~ (0.18,17)

Part (d)

How many of the 17 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)
17*0.18 = 3 student(s)

Part (e)

Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)_

0.6331

Part (f)

Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)_

0.6133