Answer:
The most likely outcome is exactly 4 free throws
Step-by-step explanation:
Given
--- attempts
---- probability of a successful free throw

Required
A histogram to show the most likely outcome
From the question, we understand that the distribution is binomial.
This is represented as:

For x = 0 to 5, where x represents the number of free throws; we have:


















From the above computations, we have:





See attachment for histogram
<em>From the histogram, we can see that the most likely outcome is at: x = 4</em>
<em>Because it has the longest vertical bar (0.4050 or 40.5%)</em>
(x - 4)(x^2 - 5x - 6) =
x(x^2 - 5x - 6) - 4(x^2 - 5x - 6) =
x^3 - 5x^2 - 6x - 4x^2 + 20x + 24 =
x^3 - 9x^2 + 14x + 24 <==
According to my calculations the following question provided should be number c