Assume that four adults are randomly selected without replacment from the 258,343,280 adults in the United States. Also, assume that 12.5% of adults in the United States use drugs. Find the probability that four selected adults all use drugs. Note: You will need to round to six 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

Assume that four adults are randomly selected without replacment from the 258,343,280 adults in the United States. Also, assume that 12.5% of adults in the United States use drugs. Find the probability that four selected adults all use drugs. Note: You will need to round to six decimal places.

Expert Solution
Step 1

As Prof. A. M. Goon said

"Suppose there is a finite population of size N that contains exactly K objects that has a specified feature. A random sample of size n has been drawn from this population without replacement, wherein each draw is either a success or a failure. Then the probability distribution of the number of objects in the sample with that feature, called success, is said to follow Hypergeometric distribution.

Let us assume X be a random variable denoting the number of success.

Then X~Hypergeometric(N,K,n), N, K and n being the parameters of the hypergeometric distribution.

The probability mass function of X is given by,

Statistics homework question answer, step 1, image 1

"

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE 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