9. At a walk-in clinic, 60 patients arrive per hour on average. What is the probability...

9. At a walk-in clinic, 60 patients arrive per hour on average. What is the probability that the receptionist needs to wait at least 2 minutes for the next patient to walk in? Round your answer to 4 decimal places.

10.Which of the following statements about discrete random variables and discrete probability distributions is/are TRUE?

I. If X is a Binomial random variable, then X could take the value 1

II. The Poisson distribution is right skewed.

III. The mean and the standard deviation of a Poisson random variable are equal.

IV. The probability that a discrete random variable X takes the value 8.4 may not be 0.

11.Suppose people arrive at a hospital’s emergency department at a rate of 1 every 9.5 minutes. What is the probability that a person arrives within the next 3.5 minutes? Round your answer to 4 decimal places.

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Customers arrive at a local ATM at an average rate of 14 per hour. Assume the...

Customers arrive at a local ATM at an average rate of 14 per hour. Assume the time between arrivals follows the exponential probability distribution. Determine the probability that the next customer will arrive in the following time frames. a) What is the probability that the next customer will arrive within the next 2 minutes? b) What is the probability that the next customer will arrive in more than 15 minutes? c) What is the probability that the next customer will...

An average of 10 cars per hour arrive at a single-server drive-in teller. Assume that the...

An average of 10 cars per hour arrive at a single-server drive-in teller. Assume that the average service time for each customer is 4 minutes, and both interarrival times and service times are exponential. What is the arrival rate per minute? What is the servicing rate per minute? What is the servicing rate per hour? What is the traffic intensity? What is the probability that the teller is idle? What is the average number of cars waiting in line for...

Cars arrive at Carla’s Muffler Shop for repair work at an average of 3 per hour,...

Cars arrive at Carla’s Muffler Shop for repair work at an average of 3 per hour, following an exponential distribution. (a) What is the expected time between arrivals? (b) What is the variance of the time between arrivals? Use Appendix C

On average, 90 patrons arrive per hour at a hotel lobby (interarrival times are exponential) waiting...

On average, 90 patrons arrive per hour at a hotel lobby (interarrival times are exponential) waiting to check in. At present there are five clerks, and patrons wait in a single line for the first available clerk. The average time for a clerk to service a patron is three minutes (exponentially distributed). Clerks earn $10 per hour, and the hotel assesses a waiting time cost of $20 for each hour that a patron waits in line. If needed, round your...

Consider three servers. An average of 12 customers per hour arrive from outside at server 1,...

Consider three servers. An average of 12 customers per hour arrive from outside at server 1, an average of 36 customers per hour arrive from outside at server 2 and an average of 24 customers per hour arrive from outside at server 3. Interarrival times are exponential. Servers 1, 2 and 3 can serve at exponential rates of 100, 120 and 80 customers per hour respectively. After completing service at server 1, 25% of the customers leave the system and...

People arrive to a hotel at a rate of 20 on average with each half hour....

People arrive to a hotel at a rate of 20 on average with each half hour. Make a probability distribution in excel for an interval of 30 minute duration. What’s the probability that no more then 14 customers will arrive?

(9) Assume on average 10 passengers arrive per minute. Assuming poisson arrivals and departures, estimate the...

(9) Assume on average 10 passengers arrive per minute. Assuming poisson arrivals and departures, estimate the gain (if any) in ‘average time spent in system per passenger’ if TSA decides to replace 4 type-A security scanners with 3 type-B security scanners. The service rate per scanner for type-A scanners is 3 passengers per minute and type-B scanners is 5 passengers per minute?

Cars arrive at a parking lot at a rate of 20 per hour. Assume that a...

Cars arrive at a parking lot at a rate of 20 per hour. Assume that a Poisson process model is appropriate. Answer the following questions. No derivations are needed but justification of your answers are necessary. What assumptions are necessary to model the arrival of cars as a Poisson process? What is the expected number of cars that arrive between 10:00 a.m and 11:45 a. m? Suppose you walk into the parking lot at 10:15 a.m.; how long, on average,...

Suppose that customers arrive at a bank at a rate of 10 per hour. Assume that...

Suppose that customers arrive at a bank at a rate of 10 per hour. Assume that the number of customer arrivals X follows a Poisson distribution. A. Find the probability of more than 25 people arriving within the next two hours using the Poisson mass function. B. Find the probability of more than 25 people arriving within the next two hours using the normal approximation to the Poisson. C. Compute the percent relative difference between the exact probability computed in...

1.Suppose small aircraft arrive at a certain airport at a rate of 8 per hour. What...

1.Suppose small aircraft arrive at a certain airport at a rate of 8 per hour. What is the probability that at least 13 small aircrafts arrive during a given hour? 2.A particular telephone number is used to receive both voice calls and fax messages. Suppose that 30% of the incoming calls involve fax messages. Consider a sample of 20 incoming calls, what is the probability that at most 6 of the calls involve a fax message.

Subjects