The random variable X is defined as the number of free throws which follows binomial distribution with sample size 10 and probability of success is 0.7.
The binomial probability distribution is,
In the formula, n denotes the number of trails, p denotes probability of success, and x denotes the number of success.
The probability that would score 8 free throws is,
Thus, the probability that would score 8 free throws is 0.2335.