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IrinaVladis [17]
2 years ago
6

A binomial experiment has 6 trials in which p = 0.85. what is the probability of getting at least 4 successes?

SAT
1 answer:
LekaFEV [45]2 years ago
8 0

By applying binomial probability, the probability of getting at least four (4) successes is 0.9527.

<h3>How to determine the probability?</h3>

In order to determine the probability of getting at least four (4) successes, we would apply binomial probability equation:

P =\; ^nC_r (p)^r (q)^{(n-r)}

The probability of getting at least four (4) successes is given by:

P(x ≥ 4) = P(4) + P(5) + P(6)

Substituting the given parameters into the equation, we have;

P = ⁶C₄ × (0.85)⁴ × (0.15)³ + ₅C₆ × (0.85)⁵ × (0.15) + ⁶C₆ × (0.85) × (0.15)⁶

P = 0.17618 + 0.39933 + 0.37715

P = 0.9527.

Read more on probability here: brainly.com/question/25870256

#SPJ1

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