According to a report, a major flooding in a city in a given year has a Poisson distribution with a mean occurrence of 2.5.
a) What is the probability that there will be at least one major flooding in the next one year?
b) Using the same parameter in a), what is the probability that it will be at least 6 months until the next major flooding?
I'm confused, how do we handle it being in months in part b)?


According to a report, a major flooding in a city in a given year has a...
A major flooding in a given year has a Poisson distribution with a mean occurrence of 2.5 d) How many months have to pass to be in the 80th percentile? Thank you!!
2. The mean annual occurrence rate of tornadoes in a region is v - tornadoes/year (a) If the random variable (r.v.) describing the occurrence of torna- does, Xt, can be assumed to follow a Poisson process, find the probabilitv that the next tornado will occur within the next two vears (at least one tornado will occur within the next two vears (b) Using instead the r.v of recurrence time, Ti, that follows an exponential distribution, show that you obta as...
Suppose that for a given city, a grocery store has a 30% chance of having toilet paper in stock. Let X represent the number of grocery stores we must visit until we find the first one that has toilet paper in stock. a) What is the probability distribution of X? b) what is the probability that we must search 2 grocery stores until we find the first one that has toilet paper? c) what is the probability that we must...
The occurrence of crashes of a computer is occurring according to a homogeneous Poisson process (HPP) with a rate of λ = 3 per month. (a) What is the probability that in a span of two months, the computer will crash at least 6 times? (b) What is the probability that in a two-month period, the computer will not crash at all? (c) What is the probability that the first crash will occur after 0.5 months?
It is proposed to model the onset of hurricanes anywhere in the Gulf of Mexico as a Poisson process. The rate of occurrence, however, depends strongly on the month of the year. Specifically, we assume that hurricanes occur in only three months of the year: August, September, and October. During these months, the mean hurricane occurrence rate per month is as follows: Month Mean occurrence rate August 1.0 event per month September 2.0 events per month October 1.0 event per...
Assume that the number of rainy days per month in a given city follows a Poisson distribution with a mean value of 2.4 days. What is the probability that it will rain two or more days next month?
Suppose that in a city, the number of suicides can be approximated by a poisson process with = .11 per day and use 1 year = 365 days. (a) Starting from time 0 (using "year" as the unit of time), what us the distribution of T1= time until the next suicide? of T5 = time until the fifth suicide ? write down pdf for each of these random variables. (b) Find the chance that it takes at least .5 year...
1-Assume that the number of rainy days per month in a given city follows a Poisson distribution with a mean value of 4.3 days. What is the probability that it will rain two or more days next month?
The mean number of homicides per year in one city is 151.0. Use a Poisson distribution to find the probability that in a given week there will be fewer than three homicides. (HINT: Assume a year is exactly 52 weeks.)
The Securities and Exchange Commission has determined that the number of companies listed in NYSE declaring bankruptcy is approximately a Poisson distribution with a mean of 2.6 per month. Find the probability that more than 1 bankruptcy occur next month. Round your answer to four decimal places. The Securities and Exchange Commission has determined that the number of companies listed in NYSE declaring bankruptcy is approximately a Poisson distribution with a mean of 2.6 per month. What is the expected...