Are the events "income is under 20, 000 USD" and "attended University B" independent? a. What is the probability that a randomly selected graduate earns under 20, 000 USD? b. What is the probability that a randomly selected graduate earns under 20, 000 USD given they are from University B?

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EXAMPLE 6:
Researchers surveyed recent graduates of two different
universities about their annual incomes. The following two-way
table displays data for the 300 graduates who responded to the
survey:
Annual
University
University TOTAL
Income (USD) A
В
Under 20, 000
36
24
60
20, 000 to
109
56
165
39, 999
40, 000 and
35
40
75
over
ТОTAL
180
120
300
Transcribed Image Text:EXAMPLE 6: Researchers surveyed recent graduates of two different universities about their annual incomes. The following two-way table displays data for the 300 graduates who responded to the survey: Annual University University TOTAL Income (USD) A В Under 20, 000 36 24 60 20, 000 to 109 56 165 39, 999 40, 000 and 35 40 75 over ТОTAL 180 120 300
|Are the events "income is under 20,000 USD" and
"attended University B" independent?
a. What is the probability that a randomly
selected graduate earns under 20,000 USD?
b. What is the probability that a randomly
selected graduate earns under 20, 000 USD given
they are from University B?
Transcribed Image Text:|Are the events "income is under 20,000 USD" and "attended University B" independent? a. What is the probability that a randomly selected graduate earns under 20,000 USD? b. What is the probability that a randomly selected graduate earns under 20, 000 USD given they are from University B?
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