Math Solutions

(See Solution) The arrival of cars to buy fuel at a small all-night garage between midnight and 5 am on a weekday may be reasonably modelled as a non-homogeneous

Question: The arrival of cars to buy fuel at a small all-night garage between midnight and 5 am on a weekday may be reasonably modelled as a non-homogeneous Poisson process with rate

\[\lambda(t)-\frac{5}{12-i t}\]

where $t$ is the time in hours after midnight.

Show that the expected number of cars arriving by $t$ hours after midnight is $\mu(t)-\log \left(1+\frac{5}{12} t\right)$
Find the probability that two cars arrive between midnight and 3 am.
Find the probability that at most one cur arrives between $3 \mathrm{am}$ and $4 \mathrm{am}$.
Show that the simulated times after midnight, $t_{1}, t_{2}, \ldots$, at which cars arrive may be obtained from the recurrence relation

\[t_{j+1}=\frac{\check t_{j} \mid 12 u}{5(1-u)}\]

where $u$ is a random observation from the uniform distribution $U(0,1)$

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

∴ Other downloads you may be interested in ∴

[Steps Shown] Ambulances arrive at the casualty department of

(See Steps) In Section 6 of Unit 2 the simple birth process is

[See Solution] In 1993 Mattel proposed acquiring Fisher-Price for

(See Solution) In 1992 American Airlines offered a 50-percent-off-sale

(Step-by-Step) In his book At the Hand of Man, Raymond Bonner argues

Area and Volume of a Pyramid - MathCracker.com

(See Solution) The arrival of cars to buy fuel at a small all-night garage between midnight and 5 am on a weekday may be reasonably modelled as a non-homogeneous

reset password

sign up