Number of accidents at a specific intersection in interval

Assignment Help Basic Statistics

Reference no: EM131130711

Let N(t) be the number of accidents at a specific intersection in the interval [0,t]. We suppose that {N(t),t ≥ 0} is a Poisson process with rate λ₁ = 1 per week. Moreover, the number Y_k of persons injured in the Kth accident has (approximately) a Poisson distribution with parameter λ₂ = 1/2, for all k. Finally, the random variables Y₁Y₂,... are independent among themselves and are also independent of the stochastic process {N(t) t ≥ 0}.

Reference no: EM131130711

Questions Cloud

Research the arguments for and against this ruling : In November, 2010, the California Supreme Court ruled that illegal immigrants are entitled to the same tuition advantages enjoyed by legal residents.

Calculate the variance of the number of persons : We suppose that the traffic at a point along a certain road can be described by a Poisson process with parameter λ = 2 per minute and that 60% of the vehicles are cars, 30% are trucks, and 10% are buses. We also suppose that the number K of person..

How might you apply what you learned in your interview : Identify some of the significant challenges you believe you might face when it comes to suggesting and seeing innovations through in the organizations in which you are or may be involved?

Cost of capital and capital structure : Two firms, A and B, both produce widgets. The price of widgets is $1 each. Firm A has total fixed costs of $500,000 and variable costs of 50¢ per widget. Firm B has total fixed costs of $240,000 and variable costs of 75¢ per widget. The corporate tax..

Number of accidents at a specific intersection in interval : Let N(t) be the number of accidents at a specific intersection in the interval [0,t]. We suppose that {N(t),t ≥ 0} is a Poisson process with rate λ1 = 1 per week. Moreover, the number Yk of persons injured in the Kth accident has (approximately) a ..

What are the deficit/gdp ratio and debt/gdp ratio : Approximately how much of the budget in Belgium is devoted to interest payments on its debt? If Belgium could wipe out its debt overnight, what would happen to its current budget deficit?

What price must the state sell its bonds assume no cash : An Iowa state savings bond can be converted to $100 at maturity 6 years from purchase. If the state bonds are to be competitive with U.S. savings bonds, which pay 8% annual interest (compounded annually), at what price must the state sell its bonds? ..

Describe why believe you believe your example demonstrates : Describe why you believe you believe your example demonstrates great supply chain management, including the impact on the customers of the cited supply chain system.

Telephone calls to an emergency number arrive : where t is in hours, and λ{t) = λ{t - 24), for t ≥ 24. Furthermore, the duration (in minutes) of a call received at night has a uniform distribution on the interval (0,2], whereas the duration of a call received during the day has

User Account

All Pages