Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P (X≤2), n=5, p=0.8

Question

Mathematics

Liberty Powell

25 April, 13:52

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P (X≤2), n=5, p=0.8

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Answers (1)

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Ciara Guerrero · Answer 1

0.0579

Step-by-step explanation:

P (X≤2) = P (X=0) + P (X=1) + P (X=2)

P (X≤2) = ₅C₀ (0.8) ⁰ (0.2) ⁵ + ₅C₁ (0.8) ¹ (0.2) ⁴ + ₅C₂ (0.8) ² (0.2) ³

P (X≤2) = 0.00032 + 0.0064 + 0.0512

P (X≤2) = 0.0579