HomeworkLib
Question

The number of people that enter Saint Bernard’s cathedral on any given day is a Poisson...

The number of people that enter Saint Bernard’s cathedral on any given day is a Poisson distributed random variable with mean 10. In the cathedral are 14 donation boxes that are emptied every night. Each time a visitor enters the cathedral, they place a donation in a randomly chosen donation box, with each box equally likely to be chosen. Find the expected number of empty donation boxes at the end of the day.

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Answer:

Given,

p = 1/14

we know,

p + q = 1

q = 1 - p

= 1 - 1/14

= 13/14

sample n = 10

Expected number of empty donation boxes at the end of the day = nq

= 10*13/14

= 130/14

= 9.2857

= 9.3

0 0
Add a comment
Know the answer?
Add Answer to:
The number of people that enter Saint Bernard’s cathedral on any given day is a Poisson...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • The number of workplace accidents occurring in a factory on any given day is Poisson distributed...

    The number of workplace accidents occurring in a factory on any given day is Poisson distributed with mean λ. The parameter λ is a random variable that is determined by the level of activity in the factory and is uniformly distributed on the interval [0,3]. Calculate the provability of one accident on a given day.

  • The number of customers entering a store on a given day is Poisson distributed with mean...

    The number of customers entering a store on a given day is Poisson distributed with mean 150 . The amount spent in the store by a customer is exponential with mean 200. The amount spent is independent from number of customers . Estimate the probability that the store takes in at least $20,000. Leave the answer in terms of the distribution of he standard normal random variable.

  • Problem 38) llung the ot number typists A, B, and C. If it is of errors...

    Problem 38) llung the ot number typists A, B, and C. If it is of errors made is a Poisson random variable with ped by B, then the number of errors is a Poisson random variable it typed by C, then it is a Poisson random variable with mean 2o: it t mean with Let X denote the number of errors in the typed manuscript. Assume that each npist is equally likely to do the work opist is equa a)...

  • 2. The number of customers entering Heal's in a given hour is Poisson distributed with mean...

    2. The number of customers entering Heal's in a given hour is Poisson distributed with mean 30. The amount of money (in pounds) spent by each customer is uniformly distributed over (0, 500). Let T denote the total amount of money spent by customers in Heal's in one hour. Find ET). You should define any notation you use and note any assumptions you make. HINT 1: Write T as a sum of random variables, noting that the number of random...

  • C. In Regular Bus City, there is a shuttle bus that goes between Stop A and Stop B, with no stops...

    Question D C. In Regular Bus City, there is a shuttle bus that goes between Stop A and Stop B, with no stops in between. The bus is perfectly punctual and arrives at Stop A at precise five minute intervals (6:00, 6:05, 6:10, 6:15, etc.) day and night, at which point it immediately picks up all passengers waiting. Citizens of Regular Bus City arrive at Stop A at Poisson random times, with an average of 5 passengers arriving every minute,...

  • Let X be a continuous random variable defined on R. Then for any real number x...

    Let X be a continuous random variable defined on R. Then for any real number x True ● False The staff at a small company includes: 2 secretaries, 12 technicians, 4 engineers, 2 executives, and 64 factory workers If a person is selected at random, what is the probability that he or she is a factory worker? 21 16 21 19 21 7 A 7 digit code number is generated by randomly selecting digits, with replacement, from the set(1.23 the...

  • help please!!! The following table gives the number (lin millions) of men and women over the age of 24 at each level of educational attainment Did not College a Total Completed Some Gende...

    help please!!! The following table gives the number (lin millions) of men and women over the age of 24 at each level of educational attainment Did not College a Total Completed Some Gender complete high school college graduate high school Males 12.9 15.9 96.3 30.7 90.8 128 41.31037 103.7 Females 12.8 25.7 31.8 17.8 200 62.5 78.1 Total 33.7 A What is the probability that a randomly selected person over the age of 24 did not complete high school?(answer with...

  • For each question below select the best answer from those listed and give your reasoning. Your...

    For each question below select the best answer from those listed and give your reasoning. Your reasoning need only be a sentence or two. It is not enough to get the right answer, you must know why it is the right answer. Question 5 Fred's friend claimed that Canadians tend to be jerks. Fred wondered if that was true, and tested it by checking to see how many Canadian jerks he could think of. Fred's cognitive strategy is             ["the availability...

  • Hello! Could you please write your own four paragraph (5-6 sentences per paragraph) take away or...

    Hello! Could you please write your own four paragraph (5-6 sentences per paragraph) take away or reflection of the below information? Please complete in 24 hours if possible. Thank you! RIS BOHNET THINKS firms are wasting their money on diversity training. The problem is, most programs just don’t work. Rather than run more workshops or try to eradicate the biases that cause discrimination, she says, companies need to redesign their processes to prevent biased choices in the first place. Bohnet...

  • Marketing Plan: Product Identification and SWOT Analysis What needs to be done. The focus of your...

    Marketing Plan: Product Identification and SWOT Analysis What needs to be done. The focus of your marketing plan can be a new product/service idea of your own or an existing product/ service. I have chosen to do a marketing product and SWOT analysis for the company Walmart. Here is an example but in of McDonald's I'm doing the company WALMART About WALMART should contain paragraphs that cover like the example pictures above. Should include The SWOT analysis that I'm doing...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT