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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning