In Tesla batteries' plant the management determines that 3 out of every 75 batteries are defective. What is the probability that Bill, the quality control technician will find the first faulty battery on the 6th battery that he tested? Bill wants to know the likelihood that it takes at least six trials until he finds the first defective battery. Determine the number of batteries we would expect Bill to inspect until he finds his first defective, *fill in* as well as the standard deviation *fill in*