The number of hits to a website follows a Poisson process; hits occur at the rate of

Question:

The number of hits to a website follows a Poisson process; hits occur at the rate of 1.4 per minute between 7:00 p.m. and 9:00 p.m. Compute the probability that the number of hits between 7:30 p.m. and 7:35 p.m. is

(a) Exactly seven. Interpret the result.

(b) Fewer than seven. Interpret the result.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Statistics Informed Decisions Using Data

ISBN: 9780134133539

5th Edition

Authors: Michael Sullivan III

See More Books

Question Posted: Jan 04, 2018 12:59 AM

See More Questions

The number of hits to a website follows a Poisson process and occurs at the rate of 10 hits per minute between 7:00 p.m. and 9:00 p.m. How long should you expect to wait before the probability of at...
An Internet advertising agency is studying the number of hits on a certain website during an advertising campaign. It is hoped that as the campaign progresses, the number of hits on the website will...
The number y of hits a new website receives each month can be modeled by y = 4080ekt, where t represents the number of months the website has been operating. In the website's third month, there were...
Consider a single toss of a fair coin, and define X as the number of heads that come up on that toss. Then X can be 0 or 1, with a probability of 50 %. The expected value of X is 1/2 . Can we expect...
Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error. + cos n 1 34. E 33. E -i n' + n? 35. E 36. E -1 (n + 1)3" 1+ 2"
This year Carla received corporate stock worth $35,000 as a gift from her grandfather. Her grandfather originally had purchased the stock in 2012 at a cost of $20,000. No gift taxes were paid on the...
How does encapsulation protect the object from an intruder?
Reformulate the following balance sheet and income statement for a manufacturing concern. Amounts are in millions. The firm bears a 36 percent statutory taxrate. Balance Sheet Assets Operating cash...
Two point charges with q1 = +3.5 10 7 C and q2 = 4.5 10 7 C are initially separated by a distance of r = 2.5 10 4 m. How much energy is required to double their separation and what is the electric...
The time between arrivals of oil tankers at a loading dock at Prudhoe Bay is given by the following probability distribution: Time Between Ship Arrivals (days) . Probability 1 ......... .05 2...
Assuming = 0.02 and t = 50, compute (a) P(2) (b) P(X < 2) (c) P(X 2) (d) P(1 X 3) (e) X and X The random variable X follows a Poisson process with the given value of and t.
The phone calls to a computer software help desk occur at the rate of 2.1 per minute between 3:00 p.m. and 4:00 p.m. Compute the probability that the number of calls between 3:10 p.m. and 3:15 p.m....
During February, Vargas Company worked on three jobs. Data relating to these three jobs follow: Overhead is assigned on the basis of direct labor hours at a rate of $5.30 per direct labor hour....
In each arithmetic expression write on the line to the right what the result will be when evaluating it. Suppose A and B are integer variables with values of 3 and 10 respectively.
On a particular day, the September S&P 5 0 0 stock index futures ( think of this as a forward ) was priced at 9 6 0 . 5 0 . The S&P index was at 9 5 6 . 4 9 . The contract expires 7 3 days later. a...
Describe the legal, social, and psychological employment contracts in organisations. Citing examples, explain why it is important for HRM to manage each of these three contracts at the workplace....
a ) A stock is currently priced at $ 3 0 and is expected to pay a dividend of $ 0 . 3 0 in 2 0 days and 6 5 days from now. What will be the contract price for a 6 0 - day forward contract when the...
Which impression management tactic is Cassandra using when she asks for help planning the retirement party when she could do it easily on her own? a . self - promotion b . supplication c ....
Identify the appropriate hypothesis test for each of the following research situations. a. A researcher conducts a between-subjects study to determine whether there is a significant difference in...
What is the back work ratio? What are typical back work ratio values for gas-turbine engines?
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n = 8, p = 0.35, x = 3
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n = 20, p = 0.6, x = 17
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n = 9, p = 0.2, x 3
From the following, prepare a balance sheet for Kim Co. Cleaners at the end of September 202X: Cash, $67,000; Equipment, $7,000; Accounts Payable, $13,000; B. Kim, Capital. Prepare the balance sheet....
Kubin Company's relevant range of production is 25,000 to 33,500 units. When it produces and sells 29,250 units, its average costs per unit are as follows: Average Cost per Unit $8.50 $ 5.50 Direct...
Dozier Company produced and sold 1,000 units during its first month of operations. It reported the following costs and expenses for the month: Direct materials Direct labor $ 83,000 $ 42,000 Variable...

The number of hits to a website follows a Poisson process; hits occur at the rate of

Question:

Step by Step Answer:

We are given that the hits occur at a rate of 14 per minute so and the interval of time we ar...View the full answer

Statistics Informed Decisions Using Data

Students also viewed these Statistics questions