Perform the indicated operation and simplify. Show your complete solutions. 1. A survey found that 30% of pet owners had their pets bathed professionally rather than do it themselves. If 10 pet owners are randomly selected, find the probability that a. Exactly 4 people have their pets bathed professionally. b. At most 4 people have their pets bathed professionally. 2. Suppose there is a disease, whose average incidence is 10 per 30,000 people. In a city of 90,000 people find the probability of the following. a. 35 incidences b. 35 or more incidences 3. Of graduating high school seniors, 40% said that their generation will be remembered for their social concerns. If 12 graduating seniors are selected at random, find the probability that at least four students will agree with that statement and 4. During peak hours, the arrival of customers at a fast food restaurant is random with an average rate of 75 customers per hour. Find the probability that a. 20 people will arrive at a 15-minute period b. A maximum of 175 people will arrive at a 2-hour period