Answered

Dive into the world of knowledge and get your queries resolved at IDNLearn.com. Get prompt and accurate answers to your questions from our experts who are always ready to help.

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

Sagot :

Lanuelidn

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

How to determine the probability?

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

[tex]P =\; ^nC_r (p)^r (q)^{(n-r)}[/tex]

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: https://brainly.com/question/25870256

#SPJ1

We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.