A company wants to evaluate hires stay with the company. Over the years, they have established the following probability distribution. X = the number of years a new hire will stay with the company. P(x) = the probability that a new hire will stay with the company x years.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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1. 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.
X
0
1
2
3
4
P(x)
0.12
6
0.18
0.30
0.15
5 0.10
0.05
a. Complete the above Table using the data provided.
b. P(x = 4) =_
c. P(x ≥ 5) =_
d. On average, how long would you expect a new hire to stay with the company?
e. What does the column "P(x)" sum to?
Transcribed Image Text:1. 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. X 0 1 2 3 4 P(x) 0.12 6 0.18 0.30 0.15 5 0.10 0.05 a. Complete the above Table using the data provided. b. P(x = 4) =_ c. P(x ≥ 5) =_ d. On average, how long would you expect a new hire to stay with the company? e. What does the column "P(x)" sum to?
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