A safety device contains five identical independent components

MATHEMATICS · Subjective · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

A safety device contains five identical independent components, each of which works with probability

0.8

. The device operates successfully if at least three of the five components work. Compute the probability that the device operates successfully (answer correct to four decimal places).

Related theory

Discrete Distributions
The Binomial Distribution

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