poisson distribution

Hello! Can anyone tell me how to solve this question? Consider that X~ Poisson(μ) and P(X > 0) = e ^−1.5 Find the variance? I need P(x =0) to use the formulae of Poisson distribution. But I don't have that!

I'm unsure as to what the correct way is to calculate Pearson's Chi-Squared statistic from my data to then test if it is Poisson distributed. (I'm working in RStudio) Here is my data: > X [1] 70 60 60 57 100 100 75 60 65 70 120 60 65 60 80 90 65 80 75 75 100 65 90 60 150...

Probability of getting into a business school is 10%,I have applied to 12 business schools,what is probability that i get accepted by atleast 1 of them? My solution as per Binomial Distribution:- Probability of success(p)=1/10...

Hi everyone, I'm new to stats and I was wondering if anyone had any good resources that could explain to me: How one can correct their data (false-positives) using poisson-regression. I've been looking for some resources to explain it simply and give a step by step (in r ) but I've had...

Hello all. I'm working on the following question: Fifteen percent of the items produced by a machine are defective. Out of 15 items chosen at random, a)what is the probability that exactly 3 items will be non-defective? Now this is a binomial distribution but; pn = 85/100 (15) = 12.75 and qn =...

Hello everyone, I don't really understand the answer of question a. The question was: Find the probability that on any given day there will be fewer than two breakdowns on this highwayduring the morning rush hour. Additional information: on average: 3,2 breakdowns per day occur. isn't it...

Hello! I am having trouble with the following question regarding the Poisson distribution. I was thinking that lambda is (2.5/100)(25). I'm not really sure if this question relates to the exponential distribution or Poisson distribution because of the fact that it asks for the probability the...

Hi, Hope I'm in the best place for an answer :) I have a study across 10 years. I have an incidence rate that was calculated for each year along with the 95% confidence interval using a Poisson distribution. My question is how do a get p-values for pairwise comparisons? I understand I can say...

Hello forum members, I wonder if someone can kindly help. I have a dataset which I've uploaded and I'm trying to work out a sensible distribution. It represents the number of throws a darts player needs before he can aim for a double. The minimum possible is 8 and the maximum possible is...

If the mean rate of arrival in a restaurant is 10 customers per hour, what is the probability of having 4 customers arriving in any hour? P(4) =10ˆ4 eˆ-10 / 4! = 0.0000454 X 10000/24 =0,0189 but 0.0000454 this number seem wrong for me and if we reduce the arrival on 10 minutes we...

Hi, doing a generalised linear model with poisson distribution, here is my model code... model<-glm(carnivore_abundance~altitude_1+dist_stream+canopy_openess+basal_area+dist_large_river,family=poisson,data=main_data) really frustratingly whenever I try to add link=log is doesn't work it...

Using this example (see below) could someone please tell me what the 'e' symbol stands for and how one would work out the expected values manually. 'log(λi) = 1.65 + 0.43 × xi where xi = 1 for a female, and xi = 0 for a male. Poisson Regression Using this example, we see that for a...

This is on my final exam study guide for statistics. I have absolutely no idea how to do it Problem 1: Valerie Variance is taking her "no-time limit " final exam. As always, the exam has an infinite number of questions and the instructor gives no partial credit. Valerie being a diligent...

If X follows a poisson distribution where P(X=1)=0.4,P(X=2)=0.6, what is the value of P(X=0)? How will I solve this question?

R code : library(MASS) mu <- rep(0,4) Sigma <- matrix(.7, nrow=4, ncol=4) + diag(4)*.3 rawvars <- mvrnorm(n=10000, mu=mu, Sigma=Sigma) pvars <- pnorm(rawvars) binomvars <- qpois(1-pvars, 3, .25) I have not understood how does qpois(1-pvars, 3, .25) work ? What is the...

Hello fellow statisticians! it's been awhile since I've done stats and everything has completely escaped me. I'm trying to conduct hypothesis testing for the question below. Everyone has been using the Chi-squared test and I feel that they are wrong. I think it should be a poisson distribution...

You're at a bus stop watching people go by, not buses. Let X = number of people wearing headphones

Question: Suppose there are number of accidents at location A and location B each day with Poisson Distribution with rate 0.001 and the number of patients during each accident is Poisson distributed with rate 0.1. Find the probability that the number of patients less than 3 in one day...

I am investigating the factors that influence the bycatch of dolphins using a poisson GLM. My response variable is bycatch rate per unit effort and varies from 0 to 0.125. However, my response is very zero-inflated (2304 of 2436 observations are zero). I have three response variables (two...

I have two variables: X1 ~ Poi (λ1) and X2 ~ Poi (λ2), with n1 = n2. How can I use a likelihood ratio test to test the null hypothesis H0: λ1 = λ2?