16. Two rescue crews set out to find a lost hiker in the Kern Canyon. Suppose the first crew has a 30% chance of finding the lost hiker before nightfall and the second crew has a 40% chance of finding the lost hiker before nightfall. If the two crews work independently, what is the probability that the lost hiker is found before nightfall?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
16. JTWO rescue crews set out to find a lost hiker in the Kern Canyon. Suppose the first crew has a 30% chance
of finding the lost hiker before nightfall and the second crew has a 40% chance of finding the lost hiker before
nightfall. If the two crews work independently, what is the probability that the lost hiker is found before
nightfall?
Transcribed Image Text:16. JTWO rescue crews set out to find a lost hiker in the Kern Canyon. Suppose the first crew has a 30% chance of finding the lost hiker before nightfall and the second crew has a 40% chance of finding the lost hiker before nightfall. If the two crews work independently, what is the probability that the lost hiker is found before nightfall?
Expert Solution
Step 1

Given

Let A be the event where crew 1 finds the hiker before nightfall

      B be the event where crew 2 finds the hiker before nightfall 

P(A)=.3  P(B)=.4

A and B are independent 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman