Please help! 4.- A fast food outlet has announced to its customers that it will use a new process to prepare your produc

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Please help!
4.- A fast food outlet has announced to its customers that it
will use a new process to
prepare your products which will substantially improve the taste of
your meals. The place claims
that 97 out of 100 people are unable to detect a difference in
taste by changing
process to prepare their products. In a random sample of 1000
individuals who have
bought fast food at this store: (Note: Use μ = n*p ; σ^2
= n*p*q)
a) What is the probability that at least 40 can tell the difference
in taste between the
two fast food preparation processes?
b) What is the probability that at most 5% can tell the difference
in taste between
the two preparation processes?
c) What is the probability that between 15 and 45 shoppers can tell
the difference in taste?
between the two preparation processes?
d) What is the number of buyers who would notice the difference,
with a probability of
25%?