Take a guess: A student takes a multiple-choice test that has 8 questions. Each question has five choices. The student guesses randomly at each answer. Let X be the number of questions answered correctly. Round the answers to at least four decimal places. Find the probability that X is equal to 5:

Answer:
Given:

Probability of success $(p) = \frac{1}{5} = 0.20 $

Sample size $(n) = 8 $

Solution:
The probability that x is equal to 5:
$P(x = 5) = \binom{8}{5} \cdot 0.2^5 \cdot (1 – 0.2)^{8-5} = 0.0092$

Final Answer:
The probability that x is equal to 5 = 0.0092

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