Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

A binomial experiment has 5 trials in which p = 0.7. What is the
probability of getting at least 2 successes?

Sagot :

The answer is - 0.9692.

ashishdwivedilVT

The Probability of getting at least 2 successes is 0.9692.

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Here, p = 0.7, q = 0.3 and n = 5

P(X≥2) = 1 - P(X<2)

            = 1 - P(X = 0, 1)

            = 1 - [ P(0) + P(1)]

            = 1 - [⁵C₀p⁰q⁵ + ⁵C₁p¹q⁴]

           = 1 - [1.(0.7)⁰(0.3)⁵ + 5.(0.7)¹(0.3)⁴]

           = 1 - 0.03078

           = 0.9692

Thus, the Probability of getting at least 2 successes is 0.9692.

Learn more about Probability from:

https://brainly.com/question/14210034

#SPJ2

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.