Question 2.1. (TATTOOS MAY LOOK UGLY IN OLD AGE) Among 250 employees at a Tattoo

Question

Question 2.1. (TATTOOS MAY LOOK UGLY IN OLD AGE) Among 250 employees at a Tattoo Company, a total of 130 have tattoos. There are 150 males working (I) What is the probability that an employee selected at random: (a ) is a female? Tattoos while (b) has a tattoo? Fig 2.1. Tattoo artist (c) is a female and has a tattoo? (d) is a male and does not have a tattoo? (e) is a male or has a tattoo? (f) is a female or does not have a tattoo? (II) (a) Assume we selected a female from the company, 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.

Explanation / Answer

from above information:

a) probability =100/250 =0.4

b) probability = 130/250 =0.52

c)  probability =45/250 =0.18

d) probability =65/250=0.26

e)  probability =0.34

f) probability =55/250=0.22

(II) a)  probability =55/100 =0.55

b) probability =85/150 =0.5667

c) no as probability of having having taoo given male is not equal to probability of having tattoo ; tehrefore not independent

female male total have tattoo 45 85 130 not have tattoo 55 65 120 total 100 150 250

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