Answered

At IDNLearn.com, find answers to your most pressing questions from experts and enthusiasts alike. Ask your questions and get detailed, reliable answers from our community of experienced experts.

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.

AshishdwivedilVTidn

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 value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.