SOLUTION: In a business statistics class, there are 40 students and 24 of them are females. Suppose an experiment consists of selection two students at random with replacement.
(i) constr
Algebra.Com
Question 516988: In a business statistics class, there are 40 students and 24 of them are females. Suppose an experiment consists of selection two students at random with replacement.
(i) construct a well-labelled tree diagram
(ii) What is the probability of selecting both females
(iii) What is the probability of selecting at least one female student.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a business statistics class, there are 40 students and 24 of them are females. Suppose an experiment consists of selection two students at random with replacement.
(i) construct a well-labelled tree diagram
(ii) What is the probability of selecting both females
# of ways to select 2 females: 24C2 = 276
# of ways to select pairs randomly: 40C2 = 780
P(select 2 females) = 276/780
-------------------------
(iii) What is the probability of selecting at least one female student.
P(select 2 males) = 16C2/40C2
---
So, P(at least one female) = 1 - P(2 males) = 1 - [16C2/40C2] = 0.8462
=============
Cheers,
Stan H.
=============
RELATED QUESTIONS
In a class of 40 students 25% of them are male's and the remaining are females how many... (answered by jim_thompson5910)
If there are 20 males and 30 females in a business statistics class and the professor... (answered by stanbon)
Suppose there is a group of 100 students. 70 of them are in an English class, and 40 of (answered by math_tutor2020)
Help Me Please
A math class consists of 40 students, 23 female and 17 male. Three... (answered by solver91311)
In a class of 40 students, 80% are business majors. Of the 24 students who passed the... (answered by henew)
in a class of 40 student, 80% are business majors. Of the 24 students who passed the... (answered by still_happy2006)
in a class of students the number of females is one less than twice the number of... (answered by fractalier)
A math class consists of 40 students, 23 female and 17 male. Three students are selected... (answered by ewatrrr)
A science class consists of 40 students, 18 female and 22 male. Three students are... (answered by ikleyn)