You opened the first sushi restaurant in Konoha, Hanamichi Robot Sushi, which is fully operated by robots.
The time to serve a customer is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes.
1.Find the probability that it takes 8 minutes or less to serve the next customer.
2.Find the probability that it takes 10 minutes or more to serve the next customer.
3.Find the probability that it takes 6 minutes or less to serve the next customer.
4.Do your answers to 2 and 3 resemble or differ from each other? Compare your answers.
As the owner of Hanamichi, you plan to conduct a customer survey. You will talk to 10 customers randomly entering the restaurant and try to determine how satisfied they are with your restaurant. You estimate this measure to have a binomial distribution and the probability that a guest will be satisfied is 85%.
5. Calculate the probability of the number of successes, i.e. the number of guests that will inform you that they are satisfied and create a plot demonstrating these probabilities.
6. What is the probability that 8 or more of the 10 guests with whom you speak will be satisfied?
7. What is the probability that fewer than 8 of the 10 guests with whom you speak will be satisfied?
