Betty has been investigating public opinions regarding electoral reform.

(b) Group B is a very large group. The probability of an individual drawn at random wanting

to leave the voting system unchanged is p = 0.6. If Betty selects 5 members of Group B at

random, what is the probability that a majority would want to change the type of voting

system?

(0.6826?)

(d) For Group B; suppose that for an individual drawn at random, p = 0.6 is the probability

the individual wants to leave the voting system unchanged, q = 0.3 is the probability the

individual wants to change the voting system and there is a probability 1 - p - q = 0.1 that

the individual is undecided. When 5 members of group B are selected at random, what

is the probability that the number of individuals that want to change the voting system is

positive and equal to the number that want to leave the voting system unchanged?