Sixty percent of the students at a particular community coll

Sixty percent of the students at a particular community college are female.

If 12 students at that community college are selected at random,

find the probability that 5 will be female.

Use Appendix Table VII with p=0.6

or Excel function Binomdist(x,n,p,0) for Binomial distribution.

Tables VII Binomial

0.121

0.101

0.241

0.351

Solution

Note that the probability of x successes out of n trials is          
          
P(n, x) = nCx p^x (1 - p)^(n - x)          
          
where          
          
n = number of trials =    12      
p = the probability of a success =    0.6      
x = the number of successes =    5      
          
Thus, the probability is          
          
P (    5   ) =    0.100902371 = 0.101 [OPTION B]