SOLUTION: In a small class of 10 students, 3 did not do their homework. The professor selects half of the class to present solutions to homework problems on the board, and records how many

Algebra.Com
Question 278277: In a small class of 10 students, 3 did not do their homework. The professor selects half of the class to present solutions to homework problems on the board, and records how many of those selected did not do their homework. What is the expected number who did not do homework?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In a small class of 10 students, 3 did not do their homework.
The professor selects half of the class to present solutions to homework problems on the board, and records how many of those selected did not do their homework. What is the expected number who did not do homework?
------------------------------------
Random # values: 0,1,2,3,
Corresponding Probabilities:
P(x = 0) = binompdf(5,0.3,0) = 0.1681
P(x= 1) = binompdf(5,0.3,1) = 0.3602
P(x=2) = binompdf(5,0.3,2)= 0.3087
P(x=3) = binompdf(5,0.3,3)= 0.1323
---------------------------------------------------------------------
Procedure:
Multiply each random number value by its probability.
Add the results of those products to find the expected number.
========================
Cheers,
stan H.

RELATED QUESTIONS

In a small class of 10 students, 3 did not do their homework. The professor selects half... (answered by edjones)
In a class of 15 students, 8 male and 7 female, the teacher selects two students at... (answered by Fombitz)
In a class of 38 boys,3 were absent.20% of the rest did not complete their homework. How... (answered by macston)
In a class consisting of 5 females and 10 males, two students are selected to present a... (answered by stanbon)
From a group of 65 students who failed Business Mathematics in 2010 we found the... (answered by JBnovelwriter)
Out of a class of 45 students,5 were absent,30% of the remaining had failed to do... (answered by Cromlix)
there were 24 in the class if 6 students did not turn in their homework, what percent did (answered by addingup)
In a class, half of the students took Geography while three-fifths took Statistics. If 8... (answered by ikleyn)
Class of 2018 graduates were 1250 students, 40% of them were female students, and the... (answered by VFBundy)