Statistics
1. in the united states, approximately 8% of men suffer from color blindness.
a. choose two men at random. what is the probability that both are colorblind?
b. choose one man at random. what is the probability that he is not colorblind?
c. choose two men at random. what is the probability that neither are colorblind?

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.