Question

Question 5:   In 2014, Lebron James made 84% of his free throws. If we randomly pick 100 attempts:

1. What is the probability Lebron makes less than 78% of his attempts
2. What is the probability that Lebron makes between 80% and 90% of his attempts
3. What is the probability that Lebron makes more than 82 free throws

Answer 1

Define the standard random variable Z as

a) Using normal table we get

So the probability is 0.0505

b) Required probability is

c) Using Normal approximation to Binomial distribution

We have mean number of free shots is

Standard deviation of number of free is

Define the standard random variable z as

Then using Normal table we get