Answer: a) n = 50, p = 0.135, b) 6.75, c) 0.134.
Explanation:
Since we have given that
Number of tasters = 45
Percentage of tasters can distinguish between the colas = 15%
Number of taste tests = 50
a) What are n and p?

(b) What is the mean number of correct guesses in many repetitions?
Mean is given by

(c) What is the probability of exactly 8 correct guesses?
P(X=8) is given by

Hence, a) n = 50, p = 0.135, b) 6.75, c) 0.134