Question

6. An internal study by the Technology Services department at Lahey Electronics revealed company employees receive...

6.

An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of two non-work-related e-mails per hour. Assume the arrival of these e-mails is approximated by the Poisson distribution.

a.

What is the probability Linda Lahey, company president, received exactly one non-work-related e-mail between 4 p.m. and 5 p.m. yesterday? (Round your answer to 4 decimal places.)

  Probability   
b.

What is the probability she received five or more non-work-related e-mails during the same period? (Round your answer to 4 decimal places.)

  Probability   
c.

What is the probability she did not receive any non-work-related e-mails during the period? (Round your answer to 4 decimal places.)

  Probability   

7.

A study of the checkout lines at the Safeway Supermarket in the South Strand area revealed that between 4 and 7 p.m. on weekdays there is an average of four customers waiting in line. What is the probability that you visit Safeway today during this period and find:

a. No customers are waiting? (Round your answer to 4 decimal places.)
  Probability   
b. Four customers are waiting? (Round your answer to 4 decimal places.)
  Probability   
c. Four or fewer are waiting? (Round your answer to 4 decimal places.)
  Probability   
d. Four or more are waiting? (Round your answer to 4 decimal places.)
  Probability   

Homework Answers

Answer #1

6)λ =2

a)

probability = P(X=1)= {ex/x!}= 0.2707

b)

probability = P(X>=5)= 1-P(X<=4)= 1-∑x=0x-1   {ex/x!}= 0.0527

c)

probability = P(X=0)= {ex/x!}= 0.1353

7)λ =4

a)

probability = P(X=0)= {ex/x!}= 0.0183

b)

probability = P(X=4)= {ex/x!}= 0.1954

c)

probability = P(X<=4)= x=0x   {ex/x!}= 0.6288

d)

probability = P(X>=4)= 1-P(X<=3)= 1-∑x=0x-1   {ex/x!}= 0.5665
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an...
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of 5.0 non-work-related e-mails per hour. Assume the arrival of these e-mails is approximated by the Poisson distribution. What is the probability Linda Lahey, company president, received exactly 4 non-work-related e-mails between 4 P.M. and 5 P.M. yesterday? (Round your probability to 4 decimal places.) What is the probability she received 6 or more non-work-related e-mails during the same period? (Round your probability...
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an...
An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of 4.6 non-work-related e-mails per hour. Assume the arrival of these e-mails is approximated by the Poisson distribution. What is the probability Linda Lahey, company president, received exactly 1 non-work-related e-mail between 4 P.M. and 5 P.M. yesterday? (Round your probability to 4 decimal places.) What is the probability she received 8 or more non-work-related e-mails during the same period? (Round your probability...
1. An internal study by the Technology Services department at Lahey Electronics revealed company employees receive...
1. An internal study by the Technology Services department at Lahey Electronics revealed company employees receive an average of 6.0 non-work-related e-mails per hour. Assume the arrival of these e-mails is approximated by the Poisson distribution. a) What is the probability Linda Lahey, company president, received exactly 2 non-work-related e-mails between 4 P.M. and 5 P.M. yesterday? (Round your probability to 4 decimal places.) b)What is the probability she received 7 or more non-work-related e-mails during the same period? (Round...
Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 customers per hour,...
Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that no units are in the system? If required, round your answer to four decimal places. P0 = _____ What is the probability that one customer is receiving a haircut and no one is...
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3...
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.3 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that no units are in the system? If required, round your answer to four decimal places. P0 = What is the probability that one customer is receiving a haircut and no...
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2...
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.2 customers per hour, and haircuts are given with a service rate of 4 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: What is the probability that no units are in the system? If required, round your answer to four decimal places. P0 = What is the probability that one customer is receiving a haircut and no...
Assignment III 1) Use the non-machine formula to calculate the variance and standard deviation from the...
Assignment III 1) Use the non-machine formula to calculate the variance and standard deviation from the following data Herd 1 67 62 69 72 68 68 71 69 65 71 70 64 64 66 71 67 75 2) What is the probability that one card selected from a deck of 52 is a club or a number card or both? 3) A container contains 10 green tennis balls and 7 orange tennis balls. What is the probability of drawing 2...
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed...
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 5.00 minutes and the standard deviation was 0.40 minutes. a. What fraction of the calls last between 5.00 and 5.80 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)   Fraction of calls    b. What fraction of...
A busy restaurant determined that between 6:30 P.M. and 9:00 P.M. on Friday nights, the arrivals...
A busy restaurant determined that between 6:30 P.M. and 9:00 P.M. on Friday nights, the arrivals of customers are Poisson distributed with an average arrival rate of 4.32 per minute. *(Round your answer to 2 decimal places.) **(Round your answer to 4 decimal places.) (a) What is the probability that at least 11 minutes will elapse between arrivals? (b) What is the probability that at least 4 minutes will elapse between arrivals? (c) What is the probability that at least...
Waiting times to receive food after placing an order at the local Subway sandwich shop follow...
Waiting times to receive food after placing an order at the local Subway sandwich shop follow an exponential distribution with a mean of 72 seconds. Calculate the probability a customer waits: a.Less than 28 seconds. (Round your answer to 4 decimal places.) b. More than 136 seconds. (Round your answer to 4 decimal places.) c. Between 35 and 82 seconds. (Round your answer to 4 decimal places.) d. Fifty percent of the patrons wait less than how many seconds? What...