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2. A study of 500 college students revealed that out of 200 freshman 150 were carrying...

2. A study of 500 college students revealed that out of 200 freshman 150 were carrying debt; among 50 sophmores 40 were carrying debt. Among the 100 juniors 85 were carrying debt and among the 150 seniors 125 were carrying debt.

a) What is the probability of randomly selecting a student and finding that he/she is a freshman or is carrying debt?

b) What is the probability that a randomly selected student is a sophmore or a junior?

c) What is the probability of randomly selecting a student who is not carrying debt or is a senior?

Math   Statistics-And-Probability   
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Answer #1

freshman 200 150

Sophomores 50 40

Juniors 100 85

Seniors 150 125

a) What is the probability of randomly selecting a student and finding that he/she is a freshman or is carrying debt?

n(freshman or is carrying debt)= 200+40+85+125 = 450

P(freshman or is carrying debt) = 450/500 = 0.9

b) What is the probability that a randomly selected student is a sophomore or a junior?

n(sophomore or a junior) = 50+100

P(sophomore or a junior) = 150/500 = 0.3

c) What is the probability of randomly selecting a student who is not carrying debt or is a senior?

n(not carrying debt or is a senior)=(200-150)+(50-40)+(100-45)+150 = 50+10+55+150=265

p(not carrying debt or is a senior)=265/500 = 0.53

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