Take a guess: A student takes a multiple-choice test that has 10 questions. Each question has four 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 3:


Answer:
Given:

Probability of success $(p) = \frac{1}{4} = 0.25 $

Sample size $ (n) = 10 $

Solution:
The probability that x is equal to 3:
$P(x = 3) = \binom{10}{3} \cdot 0.25^3 \cdot (1 – 0.25)^{10-3} = 0.2503$

Final Answer:
The probability that x is equal to 3 = 0.2503

adbhutah
adbhutah

adbhutah.com

Articles: 1279