Significantly increase the flow of a certain river

Reference no: EM131130687

During the rainy season, we estimate that showers, which significantly increase the flow of a certain river, occur according to a Poisson process with rate λ = 4 per day. Every shower, independently from the others, increases the river flow during T days, where T is a random variable having a uniform distribution on the interval [3,9].

(a) Calculate the mean and the variance of the number of showers that significantly increase the flow of the river

(i) six days after the beginning of the rainy season,

(ii) t_o days after the beginning of the rainy season, where t_o ≥ 9.

(b) Suppose that every (significant) shower increases the river flow by a quantity X (in m³/s) having an exponential distribution with parameter 1/10, independently from the other showers and from the number of significant showers. Suppose also that there is a risk of flooding when the increase in the river flow reaches the critical threshold of 310 m³/s. Calculate approximately the probability of flooding 10 days after the beginning of the rainy season.

Reference no: EM131130687

Questions Cloud

Example of a different data collection method : Give one example of a different data collection method used in evidence based practice in Nursing. What variable was this method used to measure?

What should happen to the current level of taxes : Now suppose future spending increases are not inevitable and that, as a practical matter, you believe Congress will spend whatever revenue it collects. Would you still recommend tax smoothing?

A certain highway with separate roadways : At night, vehicles circulate on a certain highway with separate roadways according to a Poisson process with parameter λ = 2 per minute (in each direction).

What effect will this have on the housing market : As a reaction to problems in the subprime area, lenders are already tightening lending standards. What effect will this have on the housing market?

Significantly increase the flow of a certain river : During the rainy season, we estimate that showers, which significantly increase the flow of a certain river, occur according to a Poisson process with rate λ = 4 per day. Every shower, independently from the others, increases the river flow during..

What difference between avoiding a risk and accepting a risk : What are the differences between bottom-up and top-down estimating approaches? Under what conditions would you prefer one over the other?

Compare watson and arneson''s arguments : Compare Watson and Arneson's arguments. - Are they consistently applying consequentialist or deontological moral reasoning?

The required return on the stock : A stock will pay no dividends for the next 3 years. Four years from now, the stock is expected to pay its first dividend in the amount of $2.10. It is expected to pay a dividend of $2.60 exactly five years from now. The dividend is expected to grow a..

Provide the answers to the following questions in letter : Would the total bond interest expense be greater than, the same as, or less than the total interest expense if the straight-line method of amortization were used?

User Account

All Pages