(1) The director of a health club conducted a survey and found that 23% of members used only the pool for workouts. Based on this information, what is the probability that for a random sample of 10 members, 4 used only the pool for workouts? Round your answer to four decimal places.

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
Question
(1) The director of a health club conducted a survey and found that 23% of members used only the pool for
workouts. Based on this information, what is the probability that for a random sample of 10 members, 4
used only the pool for workouts? Round your answer to four decimal places.
(2) Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of
16 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of the
following? Round your answers to four decimal places.
a. All 16 reach the summit
b. At least 10 reach the summit
c. No more than 12 reach the summit
d. From 9 to 12 reach the summit, including 9 and 12
e. What is the expected number of climbers that will reach the summit?
(3) The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is
about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77.
a. Find the mean of this probability distribution. Show the formula and your work.
b. Interpret the mean in the context of the problem.
c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places.
ne
30
14
NEW H
CONNECT W
SCAN OR TEXT YOUR NAM
[336) 682-61
SO WE CAN KNOW YOU'RE HE
REATER
HINGS
1OHN 1:50
Transcribed Image Text:(1) The director of a health club conducted a survey and found that 23% of members used only the pool for workouts. Based on this information, what is the probability that for a random sample of 10 members, 4 used only the pool for workouts? Round your answer to four decimal places. (2) Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 16 mountain climbers who are going to attempt Mt. McKinley, what is the probability of each of the following? Round your answers to four decimal places. a. All 16 reach the summit b. At least 10 reach the summit c. No more than 12 reach the summit d. From 9 to 12 reach the summit, including 9 and 12 e. What is the expected number of climbers that will reach the summit? (3) The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. ne 30 14 NEW H CONNECT W SCAN OR TEXT YOUR NAM [336) 682-61 SO WE CAN KNOW YOU'RE HE REATER HINGS 1OHN 1:50
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
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