2.66 Factory workers are constantly encouraged to practice zero tolerance when it comes to accidents in factories. Accidents can occur because the working environment or conditions themselves are unsafe. On the other hand, accidents can occur due to carelessness or socalled human error. In addition. the worker's shift. 7:00 A.M.3:00 PM. (day shift). 3:00 P.M.711 :00 PM. (evening shift), or 11:00 P.M.77:00 AM. (graveyard shift), maybe a factor. During the last year, 300 accidents have occurred. The percentages of the accidents for the condition combinations are as follows: Shift Day Evening Graveyard Unsafe Human Conditions Error 5% 32% 6% 25% 2% 30% // If an accident report is selected randomly from the 300 reports. (a) what is the probability that the accident occurred on the graveyard shift? (b) what is the probability that the accident occurred due to human error? (c) what is the probability that the accident occurred due to unsafe conditions? (a) what is the probability that the accident occurred on either the evening or the graveyard shift? 2.68 Interest centers around the nature of an oven purchased at a particular department store. It can be either a gas or an electric oven. Consider the decisions made by six distinct customers. (a) Suppose that the probability is 0.40 that at most two of these individuals purchase an electric oven. What is the probability that at least three purchase the electric oven? (in) Suppose it is known that the probability that all six purchase the electric oven is 0.007 while 0.104 is the probability that all six purchase the gas oven. What is the probability that at least one of each type is purchased