Question 921764: In a certain state, 35% of all community college students belong to ethnic minorities. Find the probabilities that the following results in a random sample of 10 of the college community students.
a. Exactly 2 belong to an ethnic minority.
b. Three or fewer belong to an ethinc minority.
c. Exactly 5 do not belong to an ethnic minority.
d. Six or more do not belong to an ethnic minority.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a certain state, 35% of all community college students belong to ethnic minorities. Find the probabilities that the following results in a random sample of 10 of the college community students.
-----
Binomial Problem with n = 10 and p(minority) = 0.35
------
a. Exactly 2 belong to an ethnic minority.
P(x = 2) = 10C2(0.35)^2(0.65)^8 = binompdf(10,0.35,2) = 0.1757
-------------------------------------
b. Three or fewer belong to an ethinc minority.
P(0<= x <=3) = normalcdf(10,0.35,3) = 0.5138
-----------------------------------
c. Exactly 5 do not belong to an ethnic minority.
P(x = 5) = 10C5(0.65)^5*0.35^5 = binompdf(10,0.65,5) = 0.1536
-----------------------------------
d. Six or more do not belong to an ethnic minority.
P(6<= x <=10) = 1 - P(0<= x <=5) = 1-binomcdf(10,0.65,5) = 0.7515
-------------------
Cheers,
Stan H.
===================
|
|
|
