24 In a certain congressional district it is known that 40 o

24. In a certain congressional district, it is known that 40% of the registered voters classify themselves as conservatives. If ten registered voters are selected at random from this district, what is the probability that four of them will be conservatives?

Solution

P(registered voters who classify themselves as conservatives)=0.4

P(non-conservatives) =0.6

P(4 out of 10 conservatives)= (0.4)^4   * (0.6)^6

                                       =0.0256*0.046656

                                       =0.001194