Data generating code (DGC): It consists of first non- zero digit and the last tw

Question

Data generating code (DGC): It consists of first non- zero digit and the last two-digits of your K-ID. Please write down your three digits DGC here: DGC uestion 2.1. (TATTOOS MAY LOOK UGLY IN OLD AGE) Among 250 employees at a Tattoo for this company and 85 of the males have tattoos (I) What is the probability that an employee selected at random: ( a) is a female? Company, a total of 130 have tattoos. There are 150 males working while tl (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

As per the Chegg policy, we are advised to do only four subparts of a question.

I) a) P(Female) = 1 - P(Male) = 1 - 150/250 = 2/5 = 0.40

b) P(Tattoo) = 130/250 = 0.52

c) P(Female and has a tattoo) = (130 - 85)/250 = 45/250 = 0.18

d) P(Male and does not have tattoo) = (150 - 85)/250 = 65/250 = 0.26

e) P(Male or Tattoo) = P(Male) + P(Tattoo) - P(Male and Tattoo) = 150/250 + 130/250 - 85250 = 195/250 = 0.78

f) P(Female and not have tattoo) = P(Female) - P(Female and have tattoo) = 100/250 - 45/250 = 0.22

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