SOLUTION: During a semester, 40% of the students are taking a mathematics course. Determine the probability that of the five students selected... a) exactly 2 are taking a math course b) a

Algebra ->  Probability-and-statistics -> SOLUTION: During a semester, 40% of the students are taking a mathematics course. Determine the probability that of the five students selected... a) exactly 2 are taking a math course b) a      Log On


   



Question 437698: During a semester, 40% of the students are taking a mathematics course. Determine the probability that of the five students selected...
a) exactly 2 are taking a math course
b) at least 4 students are taking a math course
c) fewer than 4 students are taking a math course

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
During a semester, 40% of the students are taking a mathematics course. Determine the probability that of the five students selected...
a) exactly 2 are taking a math course
P(x= 2) = 5C2(0.4)^2(0.6)^3 = binompdf(5.0.4,2) = 0.3456
-------------------------------------
b) at least 4 students are taking a math course
P(4<= x<=5) = 1-P(0<= x <=3) = 1-binomcdf(5,0.4,3) = 0.0870
--------------------------------------
c) fewer than 4 students are taking a math course
P(0<= x <=4) = binomcdf(5,0.4,4) = 0.9898
------------------------------------
Cheers,
Stan H.
============