Suppose that the number of accidents occurring on a highway each day is a Poisson random variable with parameter λ=3.1 i. Find the probability that 3 or more accidents occur today ii. Find the probability that no accident occur today

Suppose that the number of accidents occurring on a highway each day is a Poisson random variable with parameter λ=3.1 i. Find the probability that 3 or more accidents occur today ii. Find the probability that no accident occur today

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: f 9% of all cars fail the emissions inspection, find the probability that in a sample of 125 cars,…

A: Given: 9% of all cars fails the emission inspection (p=0.09) n=125 P(X=16)=?

Q: A health and safety consultant working in a large department store finds that the wait time for a…

A: Solution-: Given: a=2, b=6 We want to find P(a person can reach the ground floor in less than 3.25…

Q: The mean percent of childhood asthma prevalence in 43 cities is 2.06%. A random sample of 34 of…

A: Let X be the random variable from normal distribution with mean (μ) = 2.06% and standard deviation…

Q: The 10-yr and 25-yr floods of a certain river are respectively, 73 m3/s and 84 m3/s. Based on the…

Q: A communications satellite is designed to have a mean time to failure (MTF) of five years. If the…

A: The objective of this question is to find the probability of different scenarios for a satellite's…

Q: A subway train will arrive every 8 minutes. Assume the time for the next train to arrive is a…

A: Solution: If X be the uniform random variable, then the probability density function of X is Let X…

Q: 2Y 0 Show that has a x² distribution with 2 degrees of freedom.

A: Mean =θ ,

Q: None

Q: A tennis player makes a successful first serve 57% of the time. If she serves 9 times, what is the…

A: The objective of this question is to find the probability of a specific outcome in a binomial…

Q: The random variable x represents the number of emails a student receives on a day. Assume it has a…

Q: The probability that a student pilot passes the written test for a private pilot's license is 0.55.…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: During a certain part of the day, the time between arrivals of automobiles at the tollgate on a…

A: Let X be a random variable following exponential distribution with parameter λ. The expected value…

Q: A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th…

A: Solution: Let X be the number of major hurricanes will strike the U.S. mainland. From the given…

Q: Let Y₁, Y2, Y3 be independent and identically distributed random variables from the same population.…

A: be the independent and identically distributed random variables from the same population. be the…

Q: The Random Variable X counts the number of students in a 23 person class who passed an exam. If the…

A: The Random Variable X counts the number of students in a 23 person class who passed an exam. If the…

Q: The number of customers arriving at the outtakes food stand during lunch hour is poison distributed…

A: Solution: Let X be the number of customers will arrive in one minute during lunch hour. From the…

Q: The weights of steers in a herd are distributed normally. The variance is 90,000 and the mean steer…

A: Let X be the weights of steers in a herd are distributed normally. And σ2=90,000 and μ=1400 lbs i.e.…

Q: 20% of testers pass an exam on average In the first year. 20 random students are randomly selected.…

Q: The table summarizes results from 986 pedestrian deaths that were caused by automobile accidents.…

Q: People's arrivals at a register occur at a constant rate of 7 per hour. It will take about 10…

A: Given that rate of arrival = 7 per hour and we can assume that arrival rate follows Poisson…

Q: Suppose x is a uniform random variable with a = 20 and b = 60. Find the probability that a randomly…

A: From the given information, Consider, X be the random variable that follows uniform distribution.…

Q: 2. Show that a Uniform(0, 0) random variable is not an exponential family distribution.

A: A joint probability mass function or joint probability density function, {f(x|θ;θ=(θ1,θ2,...θn)∈Θ}…

Q: Show that the chain of independent random variables has a unique stationary distribution and find…

A: A probability distribution of the Markov chain which remains stable and unchanged as time progresses…

Q: The amount of time a student in Justin’s Intro to Statistics course studied for the final exam is…

A: Given that the amount of time a student in Justin’s Intro to Statistics course studied for the final…

Q: Suppose the amount of time a random customer spends in a grocery store is uniformly distributed…

A: Obtain the probability that a random customer will spend less than one hour in the grocery store.…

Question

Suppose that the number of accidents occurring on a highway each day is a Poisson
random variable with parameter λ=3.1
i. Find the probability that 3 or more accidents occur today
ii. Find the probability that no accident occur today

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

Suppose x is a uniform random variable with values ranging from 40 to 90. Find the probability that a randomly selected observation exceeds 55.
Crime reports from 2019 indicate that 6.2 motor vehicle thefts occur each hour in the United States. Assume that the distribution of thefts per hour can be approximated by the Poisson probability distribution. Calculate the probability that exactly 4 thefts occur in an hour.
Suppose that 70% of all students in a large university pass all their classes. Find the probability that more than 60% of 34 r/s students from this university pass all their classes.
If the random variable x has a Poisson Distribution with mean μ = 3.95, find the probability that x = 16.
Let Y be an exponential random variable with (unknown) mean 0.
Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.
Suppose the amount of gasoline sold daily at a service station is uniformly distributed with a minimum of 1571 gallons and a maximum of 8154 gallons. What is the probability that daily sales will fall between 1951 gallons and 4845 gallons?
In a busy highway on the average 5 accidents happen per week. What is the probability that there will be no accidents next week? Assume that the number of accidents has a Poisson distribution.