EBK INTRODUCTION TO HEALTH PHYSICS, FIF
EBK INTRODUCTION TO HEALTH PHYSICS, FIF
5th Edition
ISBN: 9780071835268
Author: Johnson
Publisher: VST
bartleby

Concept explainers

Question
Book Icon
Chapter 9, Problem 9.1P

(a)

To determine

Probability of observing exactly 400 counts in 1 minute.

(a)

Expert Solution
Check Mark

Answer to Problem 9.1P

Probability observing exactly 400, P(n=400) = 0.02

Explanation of Solution

Given:

Mean activity, n¯=400cpm

Number of counts per minute, n = 400 cpm

Formula used:

Standard deviation

  σ=n

Where, n = number of counts

Probability

  p(n)=1σ2πe(nn¯)2/2σ2

Where,

P(n) = probability of finding exactly n

  n¯ = mean activity,

  σ = standard deviation

Calculation:

Standard deviation

  σ=n=400=20

Probability

  p(n)=1σ 2πe (n n ¯ )2/2σ2p(400)=120× 2πe (400400)2/2 (20)2=0.02

Conclusion:

Probability observing exactly 400, P(400) = 0.02

(b)

To determine

Probability of measuring 390 − 410 counts in 1 minute?

(b)

Expert Solution
Check Mark

Answer to Problem 9.1P

Probability of measuring range (390 − 410) counts is 0.383

Explanation of Solution

Given:

Mean activity, n¯=400cpm

Count, n1=390,n2=410

Formula used:

  t=nn¯σ

Where,

t = test

  σ = standard deviation

Calculation:

Test value for 390 counts

  t1=n1n¯σ=39040020=0.5

Test value for 410counts

  t2=n2n¯σ=41040020=0.5

The probability of measuring 390 − 410 counts

  P(390<n<410)=P(0.5<t<0.5)=2[P (t=0.5)0.5]2[0.69150.5]=0.383

Conclusion:

The probability of measuring range (390 − 410)counts is 0.383.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
In each of the following, solve the problem stated. Express your answers in three significant figures. No unit is considered incorrect. 1. For the circuit shown, determine all the currents in each branch using Kirchhoff's Laws. (3 points) 6 5V 2 B C 4 A www 6 VT ww T10 V F E 2. Compute for the total power dissipation of the circuit in previous item. (1 point) 3. Use Maxwell's Mesh to find Ix and VAB for the circuit shown. (3 points) Ix 50 V 20 ww 21x B 4. Calculate all the currents in each branch using Maxwell's Mesh for the circuit shown. (3 points) www 5ი 10 24V 2A 2002 36V
If the mass of substance (1 kg), initial temperature (125˚C), the final temperature (175˚C) and the total volume of a closed container (1 m3) remains constant in two experiments, but one experiment is done with water ( ) and the other is done with nitrogen ( ). What is the difference in the change in pressure between water and nitrogen?
Using the simplified energy balance in Equation 1, suppose there is heat transfer of 40.00 J to a system, while the system does 10.00 J of work. Later, there is heat transfer of 25.00 J out of the system while 4.00 J of work is done on the system. What is the net change in internal energy of the system?
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Text book image
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill