Part F Sundry 24 1 mark Suppose 50 of Canadians aged 2030 ye

Part F Sundry 24 (1 mark) Suppose 50% of Canadians aged 20-30 years wear glasses. Further suppose two such people are selected independently of one another (and therefore, either person wearing glasses is independent of the other). Let A represent the event that the older person wears glasses, and let B represent the event that the younger person wears glasses (assume their ages differ slightly). What is the relationship between A and B? Check all that are true. A) Complements of each other B) Dependent to each other C) Mutually exclusive to each other D) All of the above E) None of the above 25. (1 mark) In the previous question, what is the probability one person wears glasses, given the other wears glasses?

Solution

24. OPTION E: NONE OF THE ABOVE [ANSWER]

They are not complements, because it doesn\'t mean that the older one wears glasses that the younger one does not.

They are not dependent, because they do not influence each other.

They are not mutually exclusive, because they can wear glasses at the same time.

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25.

They are independent, so it doesn mater that the other also wears glasses. Hence,

P(A|B) = 0.5 [ANSWER (still 0.5)]

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