Among DGC+150 = employees of a Tattoo Company, a total of 130 have tattoos. Ther

Question

Among DGC+150 = 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 tattoos. (I) What is the probability that an employee selected at random: (a) Is a female? (b) has a tattoo? (c) Is a female and has a tattoo? (d)Is a male and does not have tattoo? (e)Is male or has a tattoo? (f)Is a female or does not has a tattoo? (II) (a) Assume we selected a female of 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

There seem to be a problem with the Qn. Check when solving for II) parts
1.
a. Is female - 30/180 = 1/6
b. has a tattoo = 130/180 = 13/18
c. is a female and has a tattoo = 130-85 / 180 = 45/180 = .25
d. is male and doesn't have a tattoo = 85/180 = .472
e. Is male or no tattoo= 150+50-85 / 180 = 115/180 = .639

II)
a. Is female selected , P she has no tattoo = 45/30 [ calctation is right, but doesn't make sense, therefore the numbers given in the Question are wrong]
b. Male selected, has a tattoo = 85/150 = .577
c. No clearly you can see they are not indepdent.

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