A Geiger counter is struck by radioactive particles according to a homogeneous Poisson process with intensity (lambda=1)

Question:

A Geiger counter is struck by radioactive particles according to a homogeneous Poisson process with intensity $\lambda=1$ per 12 seconds. On average, the Geiger counter only records 4 out of 5 particles.

(1) What is the probability $p_{\geq 2}$ that the Geiger counter records at least 2 particles a minute?

(2) What are mean value and variance of the random time $Y$ between the occurrence of two successively recorded particles?

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

Step by Step Answer:

Related Book For book-img-for-question

Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

See More Books

Question Posted: Apr 26, 2024 04:01 PM

See More Questions

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
A two-server loss system is subject to a homogeneous Poisson input with intensity $\lambda$. The situation considered in exercise 9.26 is generalized as follows: If both servers are idle, a...
Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...
Write a program MooresLaw that takes a command-line argument $n$ and outputs the increase in processor speed over a decade if microprocessors double every $n$ months. How much will processor...
Consider a project with the following data: accounting break-even quantity = 14,200 units; cash break-even quantity = 10,300 units; life = five years; fixed costs = $170,000; variable costs = $27 per...
As of December 31, 2011, Chepas Company had total assets of $\$ 132,000$, retained earnings of $\$ 79,600$, and common stock of $\$ 45,000$. During 2012 Chepas earned $\$ 42,000$ of cash...
State the possible reasons for difference in profits shown by financial accounts and cost accounts.
A soft drink (mostly water) flows in a pipe at a beverage plant with a mass flow rate that would fill 220 0.355-L cans per minute. At point 2 in the pipe, the gauge pressure is 152 kPa and the...
Concord Co. returned defective goods costing $5700 to Ivanhoe Company on April 19, for credit. The goods were purchased April 10, on credit, terms 2/10, n/30. The entry by Concord Co. on April 19, in...
The location of trees in an even, rectangular forest stand of size $200 \mathrm{~m} \times 500 \mathrm{~m}$ follows a homogeneous Poisson distribution with intensity $\lambda=1$ per \(25...
The number of cars which pass a certain intersection daily between $12: 00$ and 14:00 follows a homogeneous Poisson process with intensity $\lambda=40$ per hour. Among these there are $2.2 \%$...
If two identical waves are spatially separated, each having an intensity of 1.00 W/m 2 , interfere perfectly constructively in a particular location, what is the intensity of the wave at this...
Consider the following double loop and identify the dependence. Verify the dependence(s) by applying GCD test and Bounds test. Use the direction vector of (1, -1) corresponding to T on (5M) S. L1: do...
After discovering a vulnerability in the passwd utility, the Linux developers have decided that it is too dangerous to continue to run the utility as root (through setuid). Unfortunately, there's no...
Your supervisor comes to you and says, that as a company, you're facing multiple communication challenges. Since transitioning to a remote workforce, communication has been extremely poor....
You are developing an application that will be running on several hundred Amazon EC2 instances. The application on each instance will be required to reach out through a file system protocol...
What is the danger of mixing elements ("hybrid strategy") from both agile and lean SC strategies?
Eastern Platinum Limiteds 2009 financial statements can be found at the end of this volume. The company is involved in the mining, exploration, and development of platinum products in South Africa....
For a nonzero constant a, find the intercepts of the graph of (x 2 + y 2 ) 2 = a 2 (x 2 - y 2 ). Then test for symmetry with respect to the x-axis, the y-axis, and the origin.
1,600 Balance Sheet The following is a list (in random order) of KIP International Products Company's December 31, 2019, balance sheet accounts: Additional Paid-In Capital on Preferred Stock $2,000...
Question 3 4 pts 9 x + 3 x 9 if x 0 Find a) lim f(x), b) lim, f(x), C), lim , f(x) if they exist. 3 Edit View Insert Format Tools Table : 12pt M Paragraph B IV A2 Tv
Mr. Geoffrey Guo had a variety of transactions during the 2019 year. Determine the total taxable capital gains included in Mr. Guo's division B income. The transactions included: 1. On January 1,...

A Geiger counter is struck by radioactive particles according to a homogeneous Poisson process with intensity (lambda=1)

Question:

Step by Step Answer:

Data...View the full answer

Applied Probability And Stochastic Processes

Students also viewed these Business questions