The Quick Snap photo machine at the Lemon County bus station takes snapshots in exactly 80 seconds. Customers arrive at the machine according to a Poisson distribution at the mean rate of 15 per hour. On the basis of this information, determine the following: a. the average number of customers waiting to use the photo machine b. the average time a customer spends in the system C. the probability an arriving customer must wait for service.
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- Find the probability that there are three H when a fair coin is flipped four times. ___________% (Round the answer to 2 decimal points.)Customers arrive at an ATM at the rate of 3 per minute. The arrival rate follows a Poisson distribution. Find the probability that at least 90 seconds will elapse before the arrival of the next customer.You work at a mechanic shop. 40% of cars that come in have a flat tire. If there are 50 cars in the shop, what is the probability that more than 30 have a flat tire? Round to three decimal points.
- Please do not give solution in image format thanku Two Manufacturers supply food to a large cafeteria. Manufacturer A supplies 40% of the soup served in the cafeteria, while Manufacturer B supplies 60% of the soup that is served. 3% of the soup cans provided by Manufacturer A are found to be dented, while 1% of the cans provided by Manufacturer B are found to be dented. Given that a can of soup is dented, find the probability that it came from Manufacturer B.Suppose that Paul Atreides scored 41.5 on Exam 2. If everyone’s exam scores follow a normal distribution with an average score of 43.3 and a variance of 16, what is the probability that someone else’s score is higher than Paul? Graph the situation, shade in the area to be determined, and find the probabilityA pizza delivery service delivers to a campus dormitory. Delivery times follow a normal distribution with a mean of 20 minutes and a standard deviation of 4 minutes.a. What is the probability that a delivery will take between 15 and 25 minutes?b. The service does not charge for the pizza if delivery takes more than 30 minutes. What is the probability of getting a free pizza from a single order?c. During final exams, a student plans to order pizza five consecutive evenings. Assume that these delivery times are independent of each other. What is the probability that the student will get at least one free pizza?d. Find the shortest range of times that includes 40% of all deliveries from this service.e. For a single delivery, state in which of the following ranges (expressed in minutes) the delivery time is most likely to lie.18-20, 19-21, 20-22, 21-23f. For a single delivery, state in which of the following ranges (expressed in minutes) the delivery time is least likely to lie.18-20,…
- For a group of 300 cars the numbers, classified by color and country of manufacture, are shown in the Black Silver White Total Korea 33 34 35 102 Japan 23 9 24 56 America 16 25 34 75 Germany 19 16 32 67 Total 91 84 125 300 One car is selected at random from this group. Find the probability that the selected car is A black or white car manufactured in Korea.A NUMMI assembly line, which has been operating since 1984, builds 900 cars and trucks in a week. Generally, 10% of those cars are defective coming off the assembly line. What type of distribution does the event of having defective cars follow? What are the mean and standard deviation of this random event? (6 points) Can we apply the normal distribution to study this event? Check the conditions and answer the question. (6 points) Find the probability that the assembly line produces at least 825 cars, that are not defective and functional, in a week. Graph the situation, shade in the area to be determined, and find the probability. (6 points)If the mean of the following probability distribution is 3.44, what is the variance? Select one: a. 1.25 b. 9.64 c. 13.08 d. 16.52