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find the probability of exactly three successes in eight trials of a bi…

Question

find the probability of exactly three successes in eight trials of a binomial experiment in which the probability of success is 45%.
p(3)=56×(0.45)^{3}(0.55)^{8 - 3}
solve part of the answer.
(0.45)^{3}=?
round to 4 decimal places.

Explanation:

Step1: Calculate the power

$$(0.45)^3=0.45\times0.45\times0.45$$

Step2: Perform the multiplications

First, \(0.45\times0.45 = 0.2025\). Then, \(0.2025\times0.45=0.091125\)

Answer:

\(0.0911\)