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For this experiment Consider a Grade School Class that has 23 males and 31 females. And we are going to randomly sample 15 of them: What is the expected Number of Males Selected? Leave as a Decimal. Round to the nearest thousandth.

For this experiment Consider a Grade School Class that has 23 males and 31 females. And we are going to randomly sample 15 of them: What is the expected Number of Males Selected? Leave as a Decimal. Round to the nearest thousandth.

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
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Question 21 For this experiment Consider a Grade School Class that has 23 males and 31 females. And we are going to randomly sample 15 of them: What is the expected Number of Males Selected? Leave as a Decimal. Round to the nearest thousandth.
Transcribed Image Text:Question 21 For this experiment Consider a Grade School Class that has 23 males and 31 females. And we are going to randomly sample 15 of them: What is the expected Number of Males Selected? Leave as a Decimal. Round to the nearest thousandth.
Expert Solution
Step 1

According to given question, 
 
We have:-  
 Parameters of binomial distribution are n and p

where and n is total number of Trials or samples selected (n=15) 

and p is probability of selecting male=males/total =23/54

p= 0.425926


To find :- 
 expected no. of males

E(x) or mean of binomial distribution having parameters n and p
 
Method and formula to find out:-  
 
mean of the binomial probability formula is:-
 E(x) = np
where 
n=is the number of trials, 
p= is the probability of success on a single trial, and 
X= is the number of successes.

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