Homework Help is Here – Start Your Trial Now!
Math
Statistics
According to Harper's indes, 45% of all federal inmates are serving time for drug dealing.  A random sample of 15 feceral inmates is selected.   a.  what is the probability that 9 or more are serving time for drug dealing? b.  what is the probablility that 5 or fewer are serving time for drug dealing? c. what is the expected number of inmates serving time for drug dealing?

According to Harper's indes, 45% of all federal inmates are serving time for drug dealing.  A random sample of 15 feceral inmates is selected.   a.  what is the probability that 9 or more are serving time for drug dealing? b.  what is the probablility that 5 or fewer are serving time for drug dealing? c. what is the expected number of inmates serving time for drug dealing?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Topic Video
Question

According to Harper's indes, 45% of all federal inmates are serving time for drug dealing.  A random sample of 15 feceral inmates is selected.  

a.  what is the probability that 9 or more are serving time for drug dealing?

b.  what is the probablility that 5 or fewer are serving time for drug dealing?

c. what is the expected number of inmates serving time for drug dealing?

 

Expert Solution
Step 1

Given :

let X be the serving time for drug dealing

p = 0.45

sample size  = n = 15

Here x follows binomial distribution.

a. The probability that 9 or more are serving time for drug dealing

P(X≥9) = 1 - P(X<9)

P(X≥9) = 1 -∑x=08 Cxn×px×1-pn-x

P(X≥9) = 1 - P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)+P(X=7)+P(X=8)

P(X≥9) = 1 - (0.000127+0.00156+0.00896+0.03176+0.07797+0.14036+0.19140+0.20134+0.16474)

P(X≥9) = 1 - 0.8182

P(X≥9) =0.182

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Research Design Formulation
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
SEE MORE TEXTBOOKS