Question

Could someone help me work through this problem?

Taylor is looking for a used car. Taylor would like it to have a working air conditioner and less than
75,000 miles. Of the 200 cars ads they perused, 70% have less than 75,000miles. Of these low-mileage
cars 65% had a working air conditioner. Of the cars with more than 75,000 miles, only 40% had a
working air conditioner.

Answer 1

a) Make a table or tree diagram to show the data.
b) What is the probability that a car looked at has low mileage and a working air conditioner.
c) What is the probability that a car has a working air conditioner.

Answer 2

Do you want answers with explanations?

Answer 3

That would be wonderful!

Answer 4

ok... here we go.

I chose to set up a table, because I'm not sure what the tree would look like, and I can't draw worth a darn...

Answer 5

The table:

Answer 6

Then, the information that's given:

"Of the 200 cars ads they perused, 70% have less than 75,000miles."
Total number of cars = 200
Number of cars with less than 75k miles = 70% of 200 = 140

This number goes in the totals column for less than 75k

Answer 7

Then because we know that 200 cars were looked at, we can deduce that 60 cars were over 75k miles because 200 - 140 = 60

Answer 8

Thank you so much

Answer 9

no problem :)

Answer 10

Then the next sentence:
Of these low-mileage cars 65% had a working air conditioner.

from the previous step we have that there are 140 low mileage cars.
65% of 140 = 91

This number goes in the box at the intersection of "less than 75k" and "working ac"

Answer 11

Let me see if you are catching on here...
Can you tell me how many cars have "less than 75k miles" and "non-working ac" ?

Answer 12

Need a hint?