Final answer:
The binomial probability distribution is used when there are a fixed number of independent trials, each with two possible outcomes: success or failure. To construct the distribution, calculate the probability for each possible number of successes using the formula P(X=x) = nCx * p^x * (1-p)^(n-x).
Step-by-step explanation:
The binomial probability distribution is used when there are a fixed number of independent trials, each with two possible outcomes: success or failure.
In this case, the parameters are n=8 (the number of trials) and p=0.75 (the probability of success on each trial).
To construct the binomial probability distribution, we can calculate the probability for each possible number of successes (0 to 8) using the formula P(X=x) = nCx * p^x * (1-p)^(n-x), where nCx represents the number of combinations of n items taken x at a time.