Over a period of 15 years, the attrition rate in a company has been observed to be an average 10% every year. Find the probability that exactly 5 employees chosen randomly from a team of 40 will quit in the year ahead.

Respuesta :

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Answer: Probability that exactly 5 employees chosen randomly from a team of 40 will quit in the year ahead is 0.165.

Step-by-step explanation:

Since we have given that

Total number of employees = 40

Number of employees are going to quit in the year ahead = 5

Rate of attrition = 10%

We will use "Binomial distribution":

Here, n = 40

x= 5

p = 0.1

q = 1-0.1=0.9

[tex]P(X=x)=^nC_xp^xq^{n-x}[/tex]

[tex]P(X=5)=^{40}C_5(0.1)^5(0.9)^{35}\\\\P(X=5)=0.165[/tex]

Hence, Probability that exactly 5 employees chosen randomly from a team of 40 will quit in the year ahead is 0.165.