Answer:
Probability that exactly 15 buyers out of 20 will prefer red is 0.0148.
Step-by-step explanation:
This problem has binomial probability distribution.
So probability of success ( population preferring Red colour) i.e. p = 50% = 0.5
therefore probability of failure ( population preferring other colors ) i.e. q = 1 - p = 1 - 0.5 = 0.5
20 buyers are selected at random, therefore n = 20.
We need to find the probability that exactly 15 buyers would prefer red and so r = 15 and it is given by,
P( X = r ) =
So, P ( X = 15 ) = =
=