The accompanying table shows proportions of adults, n metropolitan areas, catego

Question

The accompanying table shows proportions of adults, n metropolitan areas, categorized as to whether they are public-radio contributors and whether or not they voted in the last election. What is the probability that a randomly chosen adult from this population voted? What is the probability that a randomly chosen adult from this population contributes to public radio? What is the probability that a randomly chosen adult from this population did not contribute and did not vote? a campus student club distributed material about membership to new students attending an oriental-meeting. Of These receiving this material 40% men and 60% were women. Subsequently, it was d that 7% of the men and 9% of the women who received this material joined the club. Find the probability that a randomly chosen new student who receives the membership material will join the club. the grades of a freshman college class, obtained after the first year of college, were analyzed. Seventy percent of the students in the top quarter of the college class had graduated in the upper 10% of their high school class, as had 50% of the students in the middle half of the college class and 20% of the students in the bottom quarter of the college class. What is the probability that a randomly chosen freshman graduated in the upper 10% of his high school class? What is the probability that a randomly chosen freshman who graduated in the upper 10% of the high school class will be in the top quarter of the college class? What is the probability that a randomly chosen freshman who did not graduate in the upper 10% of the high school class will not be in the top quarter of the college class?

Explanation / Answer

Following is the completed table:

(a)

The probability that a ranomdly chosen adult from this population is voted is

P(voted) = 0.76

(b)

The requried probability is

P(contributors) = 0.77

(c)

P(did not contribute and did not vote) = 0.10

Voted Contributors Noncontributors Total Yes 0.63 0.13 0.76 No 0.14 0.1 0.24 Total 0.77 0.23 1

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