. A fast food chain store conducted a taste survey before marketing a new hamburger. The results of the survey showed that 70% of the people who tried this hamburger liked it. Encouraged by this...

. A fast food chain store conducted a taste survey before marketing
a new hamburger. The results of the survey showed that 70% of the
people who tried this hamburger liked it. Encouraged by this result,
the company decided to market the new hamburger. Assume that
70% of all people like this hamburger. On a certain day, 40
customers bought this hamburger.
a) Find the probability that exactly 32 of the 40 customers will like
this hamburger.
b) What is the probability that 25 or less of the 40 customers will
like this hamburger?
c) What is the probability that 31 to 34 of the 40 customers will like
this hamburger?