Question

On average, a financial aid counselor can see students at a rate of 5.75 per hour....

On average, a financial aid counselor can see students at a rate of 5.75 per hour. Counseling session time is thought to follow the exponential probability distribution. Find the following probabilities

a) the probability that service time is less than 8 minutes

b) the probability that service time exceeds 13 minutes

c) the probability that service time is exactly 10 minutes

d) the probability that service time is between 9 and 15 minutes

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
With an average service rate of 15 customers per hour and an average customer arrival rate...
With an average service rate of 15 customers per hour and an average customer arrival rate of 12 customers per hour, calculate the probability that actual service time will be less than or equal to five minutes.
In a car pressure wash the average arrival rate is 12 cars per hour and are...
In a car pressure wash the average arrival rate is 12 cars per hour and are serviced at an average rate of 15 cars per hour, with service times exponential. It is requested: a) Probability that the system is empty. b) Average number of clients in the washing system. c) Average number of clients in the row. d) Average time a customer waits in line. e) Probability of having a row of more than 2 clients. f) Probability of waiting...
Upon further reflection, it is believed that the amount of financial aid awarded to students has...
Upon further reflection, it is believed that the amount of financial aid awarded to students has equal probabilities of being between $9,000 and $14,000. Under this assumption, find the following probabilities: a) the probability of between $9,900 and $12,100 being awarded b) the probability of less than $9,200 being awarded c) the probability of at least $11,400 being awarded d) the probability of exactly $10,000 being awarded e) Find the mean amount of aid awarded. f) Find the variance in...
-On the weekend, emergency services average four patients per hour, and the service rate is expected...
-On the weekend, emergency services average four patients per hour, and the service rate is expected to be 40 minutes. How many nurses will be needed to achieve an average time in the line of 30 minutes or less? [ Poisson Distrubution]
Exponential/Poisson Megacity Bank operates a drive-up teller window that allows customers to complete bank transactions without...
Exponential/Poisson Megacity Bank operates a drive-up teller window that allows customers to complete bank transactions without having to get out of their car. Megacity Bank waiting line times follow an exponential distribution with a service rate of 36 customers per hour. A.What is the probability that the time to service is 1 minute or less? (show your formula with the numbers plugged in, as well as the answer. You may use the e^(-λ) table, an advanced calculator or excel to...
The average number of customers arriving at a bank branch is eight per hour. Assume that...
The average number of customers arriving at a bank branch is eight per hour. Assume that customer arrivals follow a Poisson process. The bank opens at 9:00 am in the morning. Answer the following questions accordingly. a) What is the probability that the first customer will arrive after 9:10 am? b) Suppose that it is now 9:15 and the first customer has arrived at 9:12 am. What is the probability that the second customer will arrive after 9:25 am? c)...
Students arrive at the Administrative Services Office at an average of one every 15 minutes, and...
Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. a. What percentage of time is Judy idle? (Round your answer to 1 decimal place.) Percentage of time             % b. How much time, on average, does a student spend waiting...
Vehicles pass Holborn Station during weekdays at randomly at an average rate of 300 per hour....
Vehicles pass Holborn Station during weekdays at randomly at an average rate of 300 per hour. Give two reasons why we should use a Poisson distribution to describe this process. Find the probability that no vehicle passes in one minute. Find the probability of at least three vehicles pass in ten minutes. What is the expected number of vehicles passing in three minutes? In a 5-minute interval, find the probability that the number of cars passing is within one standard...
At a 24-hour computer repair facility broken-down computers arrive at an average rate of 3 per...
At a 24-hour computer repair facility broken-down computers arrive at an average rate of 3 per day, Poisson distributed. What is the probability that on a given day no computers arrive for repair? What is the probability that on a given day at least 3 computers arrive for repair? What is the distribution of the time between arrivals of computers to this facility and what is the average time between arrivals? On one particular day no computer has arrived for...
In a large department store a customer-complaints office handles an average of six complaints per hour...
In a large department store a customer-complaints office handles an average of six complaints per hour about the quality of service. The distribution is Poisson. A. What is the probability that in any hour exactly six complaints will be received? Please show in Excel too. B. What is the probability that more than 20 minutes will elapse between successive complaints? Please show in Excel too. C. What is the probability that fewer than 5 minutes will elapse between successive complaints?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT