A company wants to evaluate its attrition rate, in other words, how long new hires stay with the company. Over the years, they have established the following probability distribution.

Let X = the number of years a new hire will stay with the company.

Let P(x) = the probability that a new hire will stay with the company x years.

Complete Table using the data provided. Round to two decimal places.

x

P(x)

0

0.12

1

0.18

2

0.30

3

0.15

4

____

5

0.10

6

0.05

Question 14 options: There are 4 accidents, on average, at an intersection. Assume the variable follows a Poisson distribution. Find the probability that there will be less than 2 accidents at this intersection. (That is, find P(X < 2)) (round to 4 decimal places) Answer: Question 15 options: If random variable X has a Poisson distribution with mean = 4.5 find the probability that X is more than 4. (That is, find P(X>4) (round to 4 decimal places) Answer: Question 16 options: If random variable X has a Poisson distribution with mean = 10, find the probability that X is at least 2. (That is, find P(X 2) (round to 4 decimal places) Question 17 options: If random variable X has a Poisson distribution with mean = 10, find the probability that X is more than 8. (That is, find P(X>8) (round to 4 decimal places) Answer: Question 18 options: There are on average 20 old growth Sitka Spruce trees per acre in a local forest. Find the probability that that there are more than 8 Sitka Spruce trees in a acre. Round answer to 4 decimal places. In a particular college class, there are male and female students. Some students have long hair and some students have short hair. Let F be the event that a student identifies as female. Let M be the event that a student identifies as male. Let S be the event that a student has short hair. Let L be the event that a student has long hair. Choose the best fit symbols for the event identified below. The probability that a student identifies as male, given that the student has long hair.

Question 19 options:

P(F)

P(M|L)

P(F|L)

P(S|F)

On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters. Let I = the event that a player in an infielder. Let O = the event that a player is an outfielder. Let H = the event that a player is a great hitter. Let N = the event that a player is not a great hitter. Write the symbols for the probability that a player is an outfielder or is a great hitter.

Question 20 options:

P(N or O)

P(O or H)

P(H|O)

P(O and H)