For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank. Each of the four systems will fail to detect theft with a probability of .01 independently of the others. What is the probability that when a theft occurs, none of foursystems will detect it?a. (.99)4b. (.01)4c. (.01) * 4d. 4 * (.01) * (.99)3e. 4 * (.99) * (.01)3