Answer to Question #222385 in Statistics and Probability for Faisal

Question

Long term statistics tell us, that the chance for passing the final statistics exam is 0.3. Let us consider a class of 25 students. What is the chance that exactly 3 students of that particular class will pass the final statistics exam?

0.05340.024270.034340.02345

Answer 1

Binomial (25,0.3)

$P(X)=\binom{n}{x}P^x(1-P)^{n-x}, x=1,2,3,...,25$

$P(3)=\binom{25}{3}0.3^30.7^{22}$

$=0.02427$