As soon as one components fails, the entire system will fail. suppose each component has a lifetime that is exponentially distributed with λ = 0.01 and that components fail independently of one another. define events ai = {ith component lasts at least t hours}, i = 1, . . , 5, so that the ais are independent events. let x = the time at which the system fails—that is, the shortest (minimum) lifetime among the five components. (a) the event {x ≥ t} is equivalent to what event involving a1, . . , a5?

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

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step-by-step explanation: