PROBLEM 16: In a local restaurant, 40% of the customers were born in Indiana, 40% were born in Ohio, and 35% are IU students. In addition, 10% of the customers are IU students who were born in Indiana, and 20% are IU students who were born in Ohio. If one customer is randomly selected from the restaurant, and it is known that the customer was born in neither Indiana nor Ohio, what is the probability that the customer is an IU student? A) 1/4 B) 1/3 C) 1/5 D) 0.05 E) none of the above

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
**Problem 16:**

In a local restaurant, 40% of the customers were born in Indiana, 40% were born in Ohio, and 35% are IU students. In addition, 10% of the customers are IU students who were born in Indiana, and 20% are IU students who were born in Ohio. If one customer is randomly selected from the restaurant, and it is known that the customer was born in neither Indiana nor Ohio, what is the probability that the customer is an IU student?

**Options:**

A) 1/4

B) 1/3

C) 1/5

D) 0.05

E) none of the above
Transcribed Image Text:**Problem 16:** In a local restaurant, 40% of the customers were born in Indiana, 40% were born in Ohio, and 35% are IU students. In addition, 10% of the customers are IU students who were born in Indiana, and 20% are IU students who were born in Ohio. If one customer is randomly selected from the restaurant, and it is known that the customer was born in neither Indiana nor Ohio, what is the probability that the customer is an IU student? **Options:** A) 1/4 B) 1/3 C) 1/5 D) 0.05 E) none of the above
Expert Solution
Step 1

P(Indiana) = P(I) = 40% = 0.40

P(Ohio) = P(O) =  40% = 0.40

P(students ) = P(S) =  35% = 0.35

P(I ∩ S) = 10% = 0.10

P( O ∩ S ) = 20% = 0.20

P( student , neither born in Indiana not Ohio) 

= 35% - ( P(I∩s) + P(O∩S)) 

 

 

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON