Question 2 • EAP-Algebra Functions and Data Analysis B
To get exactly 3 successes in 5 trials, first choose which 3 of the 5 trials are successes: this can be done in 5C3 ways. Each such outcome has probability P(S)^3 × P(F)^2, since the remaining 2 trials are failures. Therefore the correct choice is 5C3P(S)^3P(F)^2.
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