Among 183 employees of a Tattoo Company, a total of 130 have tattoos. There are

ID: 3155098 • Letter: A

Question

Among 183 employees of a Tattoo Company, a total of 130 have tattoos. There are 150 males working for this company and 85 of the males have tattos.

I) What is the probability that an employee selected at random:

a) Is female?

b) has a tattoo?

c)Is a female and has a tattoo?

d) Is a male and does not have a tattoo?

e) Is male or has a tattoo?

f) Is a female or does not have a tattoo?

II) Assume we selected a female of the company

a) what is the probability she has no tattoo?

b) Assume we selected a male from the company, what is the probability he has a tattoo?

c) Are having a tattoo and the gender of the employee independent? Explain

a) P(F)=72/222=0.32

b) P(T)=45/130=0.35

c) P(F AND T)=72/222*130/222=0.19

d) P( M AND Tc)=150/222*92/222=0.28

f) P(F OR TC)=72/222+92/222=0.74

Tatto No Tattoo Total Male 85 65 150 Female 45 27 72 Total 130 92 222

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