Suppose the probability of failure for a head light is p. suppose a car has two head lights and a super truck has 4 head lights. also a car needs at least one working head light to drive nightly and a super truck needs two (or more) working head lights to drive nightly. also consider a motorcycle that has only one headlight with probability of failure to be p.(a)compute the probability f(p) that you can ride a motor cycle in the night (with headlight on. simplify the formula if that is the sum of 2 or more terms. also, compute the probability g(p) that you can drive a car nightly.(b)compute the probability h(p) that you can drive a super truck nightly.(c)explain how this question can be done using bernouli trial or throwing a biased coin n times, with n > = 1.(d) rank these three probability functions in increasing order for any p. show the calculation clearly why you rank that way. in particular, is it possible that the order of these three functions can be different for different values of p = p1, p2 etc.? (in other words, can it happen that say f(p1) < g(p1) < h(p1) but f(p2) < h(p2) < g(p2) for some p1, p2 if so, find p1 and p2 for this. if not, state so.