Question

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

Answer 1

The answer is - 0.9692.

Answer 2

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.

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