A study showed that 64.5​% of occupants involved in a fatal car crash wore seat belts. Of those in a fatal car crash who wore seat​ belts, 4​% were ejected from the vehicle. For those not wearing seat​ belts, 37​% were ejected from the vehicle. Find the probability that a randomly selected person in a fatal car crash who was ejected from the vehicle was wearing a seatbelt.

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

A study showed that

64.5​%

of occupants involved in a fatal car crash wore seat belts. Of those in a fatal car crash who wore seat​ belts,

4​%

were ejected from the vehicle. For those not wearing seat​ belts,

37​%

were ejected from the vehicle.

Find the probability that a randomly selected person in a fatal car crash who was ejected from the vehicle was wearing a seatbelt.

Expert Solution
Step 1

Solution:

Let A be the event that  occupants involved in a fatal car crash wore seat belts.

P( A)= 0.645

P(Ac)= 1-0.645= 0.355

Let B be the event that occupants involved in a fatal car crash  ejected from the vehicle. 

Let B| A be the event that occupants involved in a fatal car crash  ejected from the vehicle given that they wore seat belts. 

P(B|A)= 0.04

and  B|Ac be the event that occupants involved in a fatal car crash  ejected from the vehicle given that they not wearing seat belts.

P(B|Ac)= 0.37

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE 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