Luke misses 4% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 54?

We are given the following variables:

p = probability of success / probability to shoot a free throw shot = 0.74

q = probability of failure = 1 – p = 0.26

n = number of samples / number of free throws = 8

We can solve for the average free throws he or she can make in the game using the formula:

average = n * p

average = 8 * 0.74

average = 5.92

round off:

average = 6 free throw shots

We can solve for the variance using the formula:

variance = n * p * q

variance = 8 * 0.74 * 0.26

variance = 1.5392

round off:

variance = 1.54 free throw shots

Step-by-step explanation:

step-by-step :