Answer:
Therefore, the probability is P=0.0084.
Step-by-step explanation:
We know that a multiple-choice test in which each question has 4 choices only one of which is correct. Assume that 9 questions are answered by guessing randomly.
Because we have 4 choices only one of which is correct, we get that p=0.25 and q=0.75.
We calculate the probability of getting exactly 6 correct answers.
n=9 and k=6.
[tex]P=C_k^n\cdot p^k\cdot q^{n-k}\\\\P=C_6^9\cdot 0.25^6\cdot 0.75^3\\\\P=84\cdot 0.0001\\\\P=0.0084[/tex]
Therefore, the probability is P=0.0084.
