Question

Compute the probabilities of y successes using exact probability binomial distribution for the following:
(a) n=5, y=3; p=0.1
(b) n=8, y=5; p=0.4
(c) n=7, y=4; p=0.7

Answer 1

Answer on Question #83338 — Math — Statistics and Probability

Question

Compute the probabilities of $y$ successes using exact probability binomial distribution for the following:

(a) $n=5, y=3; p=0.1$

(b) $n=8, y=5; p=0.4$

(c) $n=7, y=4; p=0.7$

Solution

a) $P(y=3) = 10p^3(1-p)^2 = 10 * 0.1^3 * 0.9^2 = 0.0081$

b) $P(y=5) = 56p^5(1-p)^3 = 56 * 0.4^5 * 0.6^3 = 0.1239$

c) $P(y=4) = 35p^4(1-p)^3 = 35 * 0.7^4 * 0.3^3 = 0.2269$

Answer: a) 0.0081; b) 0.1239; c) 0.2269.

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