Suppose the transition matrix for the tennis player in
[link] is as follows, where
$C$ denotes the cross-court shots and
$D$ denotes down-the-line shots.
Find the following.
If the player hit the first shot cross-court, what is the probability he will hit the fourth shot cross-court?
Professor Hay never orders eggs two days in a row, but if he orders tofu one day, then there is an equal probability that he will order tofu or eggs the next day.
Find the following:
If Professor Hay had eggs on Monday, what is the probability that he will have tofu on Friday?
Find the long term distribution for breakfast choices for Professor Hay.
Many Russians have experienced a sharp decline in their living standards due to President Yeltsin's reforms. As a result, in the parliamentary elections held in December 1995, Communists and Nationalists made significant gains, and a new pattern in switching political parties emerged. The transition matrix for such a change is given below, where Communists, Nationalists, and Reformists are denoted by the letters
$C$ ,
$N$ , and
$R$ , respectively.
Find the following.
If in this election Communists received 25% of the votes, Nationalists 30%, and Reformists the rest 45%, what will the distribution be in the next election?
What will the distribution be in the third election?
What will the distribution be in the fourth election?
Determine the long term distribution.
a.
$\left[\begin{array}{ccc}\text{.}\text{305}& \text{.}\text{31}& 0\text{.}\text{385}\end{array}\right]$ c.
$\left[\begin{array}{ccc}\text{.}\text{32905}& \text{.}\text{3291}& 0\text{.}\text{3418}\end{array}\right]$
Two tennis players, Andre and Vijay each with two dollars in their pocket, decide to bet each other $1, for every game they play. They continue playing until one of them is broke.
Do the following:
Write the transition matrix for Andre.
Identify the absorbing states.
Write the solution matrix.
At a given stage if Andre has $1, what is the chance that he will eventually lose it all?
The non-tenured professors at a community college are regularly evaluated. After an evaluation they are classified as good, bad, or improvable. The "improvable" are given a set of recommendations and are re-evaluated the following semester. At the next evaluation, 60% of the improvable turn out to be good, 20% bad, and 20% improvable. These percentages never change and the process continues.
Write the transition matrix.
Identify the absorbing states.
Write the solution matrix.
What is the probability that a professor who is improvable will eventually become good?
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
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8. It is known that 80% of the people wear seat belts, and 5% of the people quit smoking last year. If 4% of the people who wear seat belts quit smoking, are the events, wearing a seat belt and quitting smoking, independent?
Mr. Shamir employs two part-time typists, Inna and Jim for his typing needs. Inna charges $10 an hour and can type 6 pages an hour, while Jim charges $12 an hour and can type 8 pages per hour. Each typist must be employed at least 8 hours per week to keep them on the payroll. If Mr. Shamir has at least 208 pages to be typed, how many hours per week should he employ each student to minimize his typing costs, and what will be the total cost?
At De Anza College, 20% of the students take Finite Mathematics, 30% take Statistics and 10% take both. What percentage of the students take Finite Mathematics or Statistics?