Question 1: Ruth is a Yoga instructor. Today she has a privet Yoga class that 4 members are registered for. Ruth knows that there is a probability of 20% that a member will not show up for the class. What is the probability that at the most 3 members will attend the class today? Question 2: Refer to question 1. What is the expected value of the number of people who will attend the class? Question 3: 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? Question 4: Bill wants to know the likelihood that it takes at least six trials until he finds the first defective battery. Question 5: Determine the number of batteries we would expect Bill to inspect until he finds his first defective, as well as the standard deviation