Answer to Question #229539 in Statistics and Probability for Ljoon

Question

The probability that a student is admitted to MCBS for bachelor is 0.5. If 15 students from the same school apply, find the probability that (i) at most 5 are admitted. (ii) Exactly 5 are rejected

Answer 1

(i) $P(X\le5)=\Sigma_{i=0}^5C_{15}^i0.5^i(1-0.5)^{15-i}=0.1509.$

(ii) $P(X=5)=C_{15}^50.5^5(1-0.5)^{15-5}=0.0916.$