A binomial probability experiment is conducted with the given parameters. Use technology to find the probability...

A binomial probability experiment is conducted with the given parameters. Use technology to find the probability of x successes in the n independent trials of the experiment. Use the Tech Help button for further assistance. n=9, p=0.2, x < 4

Solutions

Expert Solution

p = 0.2

n = 9

P(X = x) = 9Cx * 0.2^x * (1 - 0.2)^9-x

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= 9C0 * 0.2⁰ * 0.8⁹ + 9C1 * 0.2¹ * 0.8⁸ + 9C2 * 0.2² * 0.8⁷ + 9C3 * 0.2³ * 0.8⁶

= 0.9144 (ans)

orchestra answered 1 year ago

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