A small business jewelry company wanted to find out how comm their ears pierced and hired a freelance statistics specialist to run a survey. The specialist recorded data on two variables - gender and whether the young adult had their ear pierced. The two-way table below displays the data. Gender Male Female Yes 19 84 Pierced Ears No 71 4 If we select a young adult at random, what is the probability that we choose (a) a male? (b) a male or a pierced ears? (c) Consider the events, "A young adult is male" and "A young adult has pierced ears". Are these

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A small business jewelry company wanted to find out how common it is for young adults to have
their ears pierced and hired a freelance statistics specialist to run a survey. The specialist recorded
data on two variables - gender and whether the young adult had their ear pierced. The two-way
table below displays the data.
Gender
Male
Female
Yes
19
84
Pierced Ears
No
71
4
If we select a young adult at random, what is the probability that we choose
(a) a male?
(b) a male or a pierced ears?
(c) Consider the events, "A young adult is male" and "A young adult has pierced ears". Are these
events independent? Justify your answer.
(d) Consider the events, "A young adult is male" and "A young adult has pierced ears". Are these
events mutually exclusive? Justify your answer.
Transcribed Image Text:A small business jewelry company wanted to find out how common it is for young adults to have their ears pierced and hired a freelance statistics specialist to run a survey. The specialist recorded data on two variables - gender and whether the young adult had their ear pierced. The two-way table below displays the data. Gender Male Female Yes 19 84 Pierced Ears No 71 4 If we select a young adult at random, what is the probability that we choose (a) a male? (b) a male or a pierced ears? (c) Consider the events, "A young adult is male" and "A young adult has pierced ears". Are these events independent? Justify your answer. (d) Consider the events, "A young adult is male" and "A young adult has pierced ears". Are these events mutually exclusive? Justify your answer.
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