In Airline Applications Failure of a Component

Probability of All Three Components Failing

The probability of all three components failing is the product of the individual probabilities of each component failing, assuming that the failures are independent events.

The probability of one component failing is given as 0.0059. Therefore, the probability of all three components failing is:

P(all fail) = P(component 1 fails) * P(component 2 fails) * P(component 3 fails)

Substituting the given probability into the equation, we get:

P(all fail) = 0.0059 * 0.0059 * 0.0059

Probability of At Least One Component Not Failing

The probability of at least one component not failing is the complement of the probability of all components failing.

The complement of an event is the event not happening. Therefore, the probability of at least one component not failing is 1 minus the probability of all components failing.

P(at least one does not fail) = 1 - P(all fail)

Substitute the calculated value of P(all fail) into the equation to get the final answer.

Remember to calculate these probabilities to get the numerical values.