A company collected data on 100 people with regards to their eye color and wheth

Question

A company collected data on 100 people with regards to their eye color and whether they were left-handed or right- handed. The data is given in the table below Eye Color Left-Handed Right-Handed 12 15 Total Brown Blue Green Total 40 60 60 100 8 27 20 20 (a) What is the probability that a person in this group has blue eyes? (b) What is the probability that a person in this group is right-handed? (c) What is the probability that a person in this group has blue eyes and is right-handed? (d) Based on the data, are having blue eyes and being right-handed independent events for this group of people? Yes O No (e) What is the probability that a person in this group has brown eyes? (f) What is the probability that a person in this group is left-handed? (g) What is the probability that a person in this group has brown eyes and is left-handed? (h) Based on the data, are having brown eyes and being left-handed independent events for this group of people? O Yes O No

Explanation / Answer

a)P(blue eyes) =20/100=0.2

b)P(right handed) =60/100 =0.6

c)P(blue and right handed)=15/100 =0.15

d) as P(blue eyes)*P((right handed) =0.2*0.6 =0.12 which is not equal to P(blue and right handed)

hence they are not independent

No

e)P(brown )=20/100 =0.2

f)P(left handed)=40/100 =0.4

g) P(brown and left handed) =8/100 =0.08

h)Yes as P(brown and left handed) =P(brown )*P(left handed)

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