A business student is searching for a used car to purchase, so she posts an ad t
ID: 3325642 • Letter: A
Question
A business student is searching for a used car to purchase, so she posts an ad to a website saying she wants to buy a used car between $18,000 and $20,000. She learns that there are 153 cars matching that description within a 30-mile radius of her home. Assume that those are the people who will call her and that they are equally likely to call her. Complete parts a through d.
a) What is the probability that the first caller will own a car of make D? (Round to three decimal places as needed.)
b) What is the probability that the first caller will own a car of make D that costs between $18,000 and $18,999? (Round to three decimal places as needed.)
c) If the first call offers her a car of make D, what is the probability that it costs less than $19,000? (Round to three decimal places as needed.)
d) Suppose she decides to ignore calls with cars whose cost is $19,000. What is the probability that the first call she takes will offer to sell her a car of make D? (Round to three decimal places as needed.)
A business student is searching for a used car to purchase, so she posts an ad to a website saying she wants to buy a used car between $18,000 and $20,000. She learns that there are 153 cars matching that description within a 30-mile radius of her home. Assume that those are the people who will call her and that they are equally likely to call her. Complete parts a through d.
a) What is the probability that the first caller will own a car of make D? (Round to three decimal places as needed.)
b) What is the probability that the first caller will own a car of make D that costs between $18,000 and $18,999? (Round to three decimal places as needed.)
c) If the first call offers her a car of make D, what is the probability that it costs less than $19,000? (Round to three decimal places as needed.)
d) Suppose she decides to ignore calls with cars whose cost is $19,000. What is the probability that the first call she takes will offer to sell her a car of make D? (Round to three decimal places as needed.)
Price $18,000-$18,999 $19,000-$19,999 10 30 17 34 90 32 62 26 46 153 12 63Explanation / Answer
a) probability that the first caller will own a car of make D =26/153=0.170
b)probability that the first caller will own a car of make D that costs between $18,000 and $18,999
=17/153=0.111
c)probability that it costs less than $19,000 given car of make D =17/26=0.654
d) probability that the first call she takes will offer to sell her a car of make D given cost is >=19000
=9/63 =0.143
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.