Question

1. We want to look at positions people play in the NFL. We know that 13% of players are wide receivers. Assume we take a sample of 20 players.
   1. How many players out of the sample of 20 would you expect to be wide receivers?
   2. What is the standard deviation?
   3. What is the probability that exactly 2 players are wide receivers?
   4. What is the probability that more than 2 players are wide receivers?

Answer 1

Let X denote the number of people who are wide receivers. Then

a)

For Binomial distribution,

So, expected number = 2.6

b)

For Binomial distribution,

c)

Required probability =

d)

Required probability =