A movie store has five fiction and seven other movies on display. A customer selects four of these 12 at random. What is the probability that the number of fiction movies among the four selected movies is (a) exactly two, (b) between two and four (inclusive), (c) at most two.
A movie store has five fiction and seven other movies on display. A customer selects
four of these 12 at random. What is the
movies among the four selected movies is (a) exactly two, (b) between two and
four (inclusive), (c) at most two.
Given that,
There are 5 fiction and 7 other movies.
The customer selects 4 at random
The random variable is the number of fiction movies among four selected movies.
The probability of success is
The random variable follows a binomial distribution.
The p.m.f of the binomial distribution is as follows,
The combination is as follows,
The factorial is as follows,
The probability is the number of favorable outcomes divided by the total number of outcomes.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
