The average number of radioactive particles emitted by a material is 4 per hour. By the Poisson Distribution, determine: a) What is the probability that the number of particles emitted in 3 hours is exactly 8? b) What is the probability that no particles are emitted in a day?

The average number of radioactive particles emitted by a material is 4 per hour. By the Poisson Distribution, determine: a) What is the probability that the number of particles emitted in 3 hours is exactly 8? b) What is the probability that no particles are emitted in a day?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was…

A: Given: Pedestrian intoxicated Driver intoxicated Yes No Yes 46 66 No 270 599

Q: 6.86 The length of time, in seconds, that a computer user takes to read his or her e-mail is…

Q: he table summarizes results from 988 pedestrian deaths that were caused by automobile accidents.…

A: Given information Driver Intoxicated? Pedestrian Intoxicated? Total Yes No Yes…

Q: Two dice are rolled. The random variable of interest, Y , is the absolute value of the difference…

A: ba 1 2 3 4 5 6 1 0 1 2 3 4 5 2 1 0 1 2 3 4 3 2 1 0 1 2 3 4 3 2 1 0 1 2 5 4 3 2 1 0 1 6 5…

Q: In a population where 76%76% of voters prefer Candidate A, an organization conducts a poll of 77…

A: It is given that n = 7 and p =0.76.

Q: life insurance salesman sells on the average 3 life insurance policies per week. Use Poisson's law…

A: Given that X~Poisson(λ=3) Probability mass function of X P(X=x)=λxe-λ/x! , x=0,1,2,____

Q: The wait time for your local pizzeria to deliver food is normally distributed with µ = 35 minutes…

Q: Assume that the number of students in a class follows the Poisson distribution with λ = 14. The…

A: Poisson distribution is a discrete probability distribution.

Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

Q: The table summarizes results from 977 pedestrian deaths that were caused by automobile accidents.…

A: The table summarizes results from 977 pedestrian deaths.

Q: The table summarizes results from 987 pedestrian deaths that were caused by automobile accidents.…

A: Given data of 987 pedestrian deaths that were caused by automobile accidents is shown below. If one…

Q: The table summarizes results from 981 pedestrian deaths that were caused by automobile accidents.…

A: For the given data Find p ( pedestrain not intoxicated or driver was intoxicated ) = ?

Q: A Geiger counter counts the number of alpha particles from radioactive material. Over a long period…

A: Here it is given that X denotes the number of particles arrives in one minutes period

Q: Suppose that the number of accidents occurring on a highway each day is a Poisson random variable…

A: Givenλ=3.1 for each dayLet "x" be the no.of accidents occur in a dayx~Poisson(λ=3.1)P(X=x)=e-λ×λxx!…

Q: If electricity power failures occur according to a Poisson distribution with an average of 3…

Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

A: sample size(n)=152probability of eligible voters aged 18-24 voted(p)=0.22Let "x" be no. of eligible…

Q: Describe an assumption that we are making about the distribution of the beans after “frolicking,”…

A: When marked beans are added back to the population in the cup, the researcher ask to 'frolic' or mix…

Q: Assume that the mortality rate of a unicorn increases by 10% every year and assume that a proportion…

A: Given that the mortality rate of a unicorn increases by 10% every year and assume that a proportion…

Q: Assume that when adults with smartphones are randomly selected,56% use them in meetings or classes.…

A: Given,n=5p=0.56Let X=no.of adults use their smartphones in meeting or classesX~Binomial(n=5 ,…

Q: Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives…

A: From the given information, Consider, X be the continuous random variable that represents the…

Q: oday, the waves are crashing onto the beach every 6 seconds. The times from when a person arrives at…

A: 1. f(x)=16, 0<x<6 2. P(1.6<X<1.9)=∫1.61.9f(x)dx =∫1.61.916dx…

Q: A baseball player’s batting average is 0.320 (32%). This player batted 100 times. 1) Find the…

A: Givenp=0.32n=100Let "x" be the player will get no.of…

Q: Assume that the number of messages input to a communication channel in an Exponential distribution…

A: Given: 7 Messages arrived in 10 seconds. Formula Used: P(X≤x) = 1-e-xμ P(X>x) = e-xμ

Q: The mean height of women in a country (ages 20−29) is 64.3 inches. A random sample of 60 women in…

Q: Two types of feed have been developed for a freshwater fish raised in fish farms. 40 of the fish fed…

A: The following information is provided in the question Average weight of fish fed on first feed = 175…

Q: ume that when adults with smartphones are randomly selected, 41% use them in meetings or classes. If…

Q: An Apple smartwatch has an expected lifespan of 1460 days. The lifespan of this type of clock can…

A: Given that, An Apple smartwatch has an expected lifespan of 1460 days. The lifespan of this type of…

Q: The probability a student has blue eyes is p. Five students are selected at random. Write down, in…

A: It was stated that the probability that a student has blue eyes is p. Five students are selected at…

Q: An instrument for testing contaminated particles experiences errors 4 times on average during a…

A: Given Data: Let X represent the number of errors during 4-hour session X~ Poi(4) Let Y represent…

Q: The mean height of women in a country (ages 20−29) is 64.4 inches. A random sample of 75 women…

Q: A Geiger counter counts the number of alpha particles from radioactive material. Over a long period…

A: Given data a Geiger counter counts the number of alpha particles from radio active material. on an…

Q: The table summarizes results from 981 pedestrian deaths that were caused by automobile accidents.…

A: Given, N = 981 The table is: Pedestrian Intoxicated Pedestrian not Intoxicated Driver…

Q: he time it takes me to wash the dishes is uniformly distributed between 9 minutes and 18 minutes.…

A: We have to find given probability.

Q: uakes in the world each year. Find the probability of gettin

Q: A Geiger counter counts the number of alpha particles from radioactive material. Over a long period…

A: Given,A random varible X~Poisson (λ=6)P(X=x)=e-λ λxx! ; x≥0

Q: Assume that when human resource managers are randomly selected, 49% say job applicants should follow…

A: Given ,49% say job applicants should follow up within two weeks .i.e, P(success) = p = 49% = 0.49If…

Q: The life of a certain type of device has an exponentially distributed failure with rate .008 per…

A: Given that the life of a certain type of device has an exponentially distributed failure with rate…

Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

A: It is given that n is 153 and p=0.22.

Q: Assume that when human resource managers are randomly selected, 48% say job applicants should follow…

A: Suppose a random variable x, defines the number of human resource mangers, who say job applicants…

Q: lity that exactly 43 voted bability that exactly 43 of 181 eligible voters voted is to four decimal…

A: Given n=181 X=43

Q: Describe the distribution where radioactive particles are emitted at a poisson rate of 5 per second.…

A: From the given information, Consider, X is the random variable that represents the waiting time…

Question

The average number of radioactive particles emitted by a material is 4 per hour. By the Poisson Distribution, determine:

a) What is the probability that the number of particles emitted in 3 hours is exactly 8?
b) What is the probability that no particles are emitted in a day?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The table summarizes results from 988 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Pedestrian Intoxicated? Driver Intoxicated? Yes No Yes 53 73 No 230 632 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was intoxicated. Please enter a decimal to 4 decimal places. Probability =
The time it takes to complete an online survey is uniformly distributed over the range of 10.1 minutes to 16 minutes. Calculate the probability that it takes a person between 11.2 and 11.9 minutes to complete the survey.
Let random variable X denote the length of a wire, assumed to be exponentially distributed with mean 107 cm. The wire is cut to make rings of radius 1 cm. Derive the probability mass function for the number of complete rings that can be produced by each length of wire.
The mean percent of childhood asthma prevalence in 43 cities is 2.39%. A random sample of 33 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%? Interpret this probability. Assume that o = 1.31%. The probability is (Round to four decimal places as needed.) 4
The table summarizes results from 987 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Pedestrian Intoxicated? Intoxicated? Yes No Yes 60 73 No 282 572 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. Please enter a decimal to 4 decimal places. Probability =
Assume the flying height of an airplane is a Gaussian Random variable X with ax = 5000 m and ox=2000 m. Find the probability of the airplane flying higher than 10000 m. Use the table method.
An online advertisement is viewed 1.1 times per hour an average. The number of views per hour follows a Poisson distribution. Find the probability that the advertisement will be viewed more than 2 times in a randomly selected hour. (Provide your answer as a number between 0 and 1 rounded to 3 decimal places.)
The distance travelled per day, D km, by local bus drivers is normally distributed with D ~ N(110.0,13.5). What is the probability that a randomly selected bus driver travel less than 109.7km per day? (Give your answer in 3 d.p)
Faults occur on a piece of string at an average rate of one every three metres. Bobbins, each containing 5 metres of this string are to be used. What is the probability that a randomly selected bobbin will contain (a) two faults. (b) at least two faults.
Please as soon as possible
The number of students who fail per semester is often modeled as a Poisson random variable. Assume that on the average there are 5 students who fail per sem. d. If exponential distribution can model this system, what is the probability that there will be no failing students right after midterm? Let X denote the time in semesters from the start of the interval until the first failure and that a semester is divided by midterm period. e. Calculate the probability that there will be a failing student within the first semester. F. Calculate the probability that a failing student will be first spotted after midterm up to end of the first semester?
The number of admissions per day at an emergency room has a Poisson distribution and its parameter is 5.Find the probability of I. At least 3 admissions per day II. At most 8 admissions per day.