A recently installed assembly line has problems with intermittent breakdowns. Recently, it seems that the equipment fails at some point during 15% of the eight-hour shifts that the plant operates....

A recently installed assembly line has problems with intermittent breakdowns. Recently, it seems that the equipment fails at some point during 15% of the eight-hour shifts that the plant operates. Each day contains three consecutive shifts. State your assumptions. What is the probability that the assembly line

(a) works fine throughout the three shifts on Monday?

(b) works fine on Monday but breaks down during the first shift on Tuesday?

(c) breaks down on a given day?

(d) breaks down during only one shift during a chosen day?