Question

1. Complete the PDF.

x	P(X = x)	x · P(X = x)
0	0.1
1	0.4
2
3	0.2

• Part (a) Find the probability that X = 2.

• Part (b) Find the expected value.

2. A school newspaper reporter decides to randomly survey 16 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 21% of students attend Tet festivities. We are interested in the number of students who will attend the festivities.

• Part (e) Find the probability that at most 4 students will attend. (Round your answer to four decimal places.)

• Part (f) Find the probability that more than 3 students will attend. (Round your answer to four decimal places.)

3. The probability that a certain hockey team will win any given game is 0.3667 based on their 13 year win history of 381 wins out of 1039 games played (as of a certain date). Their schedule for November contains 12 games. Let X = number of games won in November.

What is the expected number of wins for the month of November? (Round your answer to two decimal places.)

4. At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey 24 fencers at The Fencing Center. We are interested in the numbers that do not use the foil as their main weapon.

• How many fencers are expected to not use the foil as their main weapon? (Round your answer to the nearest whole number.)

• Part (e)

  Find the probability that five do not use the foil as their main weapon. (Round your answer to four decimal places.

5. Suppose that the PDF for the number of years it takes to earn a Bachelor of Science (B.S.) degree is given as in the table below.

x	P(x)
3	0.05
4	0.35
5	0.30
6	0.20
7	0.10

On average, how many years do you expect it to take for an individual to earn a B.S.? (Enter your answer to two decimal places.)

Answer 1

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