8. Suppose in a class of 40 people, there are 5 people with green eyes, 8 people with blue eyes, 5 people with hazel eyes, and the rest have brown eyes. Consider 9 randomly chosen people from this class, without replacement. Let X be the number of blue-eyed people selected. (a) What is the distribution of X? (b) What is the probability that you draw all of the blue-eyed people? (c) Now consider only two people drawn, rather than nine. Given that the second pick was green-eyed, what is the probability that the first draw was brown-eyed?

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8. Suppose in a class of 40 people, there are 5 people with green eyes, 8 people with blue eyes, 5
people with hazel eyes, and the rest have brown eyes. Consider 9 randomly chosen people from
this class, without replacement. Let X be the number of blue-eyed people selected.
(a) What is the distribution of X?
(b) What is the probability that you draw all of the blue-eyed people?
(c) Now consider only two people drawn, rather than nine. Given that the second pick was
green-eyed, what is the probability that the first draw was brown-eyed?
Transcribed Image Text:8. Suppose in a class of 40 people, there are 5 people with green eyes, 8 people with blue eyes, 5 people with hazel eyes, and the rest have brown eyes. Consider 9 randomly chosen people from this class, without replacement. Let X be the number of blue-eyed people selected. (a) What is the distribution of X? (b) What is the probability that you draw all of the blue-eyed people? (c) Now consider only two people drawn, rather than nine. Given that the second pick was green-eyed, what is the probability that the first draw was brown-eyed?
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