In a certain midsize city 90 of the high school graduates ar

In a certain mid-size city, 90% of the high school graduates are from public schools and the other 10% are from private schools. Of the private school grads, 80% go on to complete college, but only 50% of the public school grads complete college.

(4 points)

Score

7. What is the probability that a high school graduate from this city will complete college?

a

1.3

b

.9

c

.58

d

.47

e

.53

Solution

Here we are given that,

In a certain mid-size city,

90% of the high school graduates are from public schools and

the other 10% are from private schools.

Of the private school grads, 80% go on to complete college,

but only 50% of the public school grads complete college.

And we have to find the probability that a high school graduate from this city will complete college?

P(high school graduate from this city will complete college) = 90%*50% + 10%*80%

= 0.9*0.5 + 0.1*0.8 = 0.53