Income amounts f1, . . . , f120, which can be negative signifying losses, need to be reported on a certain tax form. By the requirement of this particular tax form, each fj needs to be rounded off to the nearest dollar, j, and then entered on the form. Suppose that the round-off errors, in unit of dollar, are uniformly distributed in the interval (1/2,1/2).

Use the weak inequality to estimate the probability of the event

|(f1 ++f120)(1 ++120)|6.