Question
In: Statistics and Probability
Suppose that whether or not it rains today depends on previous weather conditions through the last...
Suppose that whether or not it rains today depends on previous
weather conditions through the last two days.
Specifically, suppose that if it has rained for the past two
days, then it will rain tomorrow with probability 0.7; if it
rained
today but not yesterday, then it will rain tomorrow with
probability 0.5; if it rained yesterday but not today, then it
will
rain tomorrow with probability 0.4; if it has not rained in
the past two days, then it will
rain tomorrow with probability 0.2. If we let the state at
time n depend only on whether or not it is raining at time n,
Q1. ---whether the preceding model is a Markov chain or not?
And why? .
And we can transform this model into a Markov chain by saying
that the state at any time is determined by the weather
conditions during both that day and the previous day. In other
words, we can say that the process is in
state0 if it rained both today and yesterday,
state1 if it rained today but not yesterday,
state2 if it rained yesterday but not today,
state3 if it did not rain either yesterday or today.
Q2.---The preceding would then represent a four-state Markov
chain having a transition probability matrix
P, and find P, plz?
Q3. ---Given that it rained on Monday and Tuesday, what is the
probability that it will rain on Thursday?
Solutions
orchestra answered 1 year agoRelated Solutions
Suppose that whether or not it rains today depends on previous weather conditions through the last...
Suppose that whether or not it rains today depends on previous
weather conditions through the last two days. Specifically, suppose
that if it has rained for the past two days, then it will rain
tomorrow with probability 0:7; if it rained today but not
yesterday, then it will rain tomorrow with probability 0:5; if it
rained yesterday but not today, then it will rain tomorrow with
probability 0:4; if it has not rained in the past two days, then it...
Suppose that the chance of rain tomorrow depends on previous weather conditions only through whether or...
Suppose that the chance of rain tomorrow depends on previous
weather conditions only through whether or not it is raining today
and not on past weather conditions. Suppose also that if it rains
today, then it will rain tomorrow with probability 0.6, and if it
does not rain today, then it will rain tomorrow with probability
0.3, then
a. Calculate the probability that it will rain four days from
today given that it is raining today.
b. What is the...
Find the stationary distribution of this chain Suppose that the probability it rains today is 0.3...
Find the stationary distribution of this chain
Suppose that the probability it rains today is 0.3 if neither of
the last two days was rainy, but 0.6 if at least one of the last
two days was rainy. Let the weather on day n, Wn, be R for rain, or
S for sun. Wn is not a Markov chain, but the weather for the last
two days Xn = (Wn−1 , Wn ) is a Markov chain with four states...
Suppose that you are interested in determining whether "consumption depends on income" or whether "income depends...
Suppose that you are interested in determining whether
"consumption depends on income" or whether "income depends on
consumption." Which of the following would be most
relevant?
Group of answer choices
t-test
F-test
Chi-square test
double-blind test
Granger test
Problem 1 Whether the stock goes up tomorrow depends upon whether it increased today and yesterday....
Problem 1
Whether the stock goes up tomorrow depends upon whether it
increased today and yesterday. If the stock increased today and
yesterday, it will decrease tomorrow with probability α1 . If the
stock increased today and decreased yesterday, it will decrease
tomorrow with probability α2. If the stock decreased today and
increased yesterday, it will decrease tomorrow with probability α3.
Finally, if the stock decreased today and yesterday, it will
decrease tomorrow with probability α4.
a) Define the states...
Suppose today you are considering whether to buy Stock Theta, and you want to do some...
Suppose today you are considering whether to buy Stock Theta,
and you want to do some basic analysis before buying the shares. By
reading the firm’s most recent Balance Sheet, you find the
following information: Net Income is $5,000,000, Total
Shareholders’ Equity is $25,000,000, Total Assets is $40,000,000.
From other publicly available sources, you further obtain the
following information: the most recent earnings per share (EPS) is
$3, the dividend payout ratio is 60%, and the firm’s beta is 1.4....
110. Suppose that last month one U.S. dollar could be exchanged for one euro, while, today...
110. Suppose that last month one U.S. dollar could be
exchanged for one euro, while, today it takes two U.S. dollars to
buy one euro. From this, we can conclude that:
a. the U.S. dollar has depreciated relative to the
euro.
b. the euro has appreciated relative to the U.S.
dollar.
c. the U.S. dollar has appreciated relative to the
euro.
d. both the U.S. dollar and the euro have depreciated
relative to each other.
e. Both A and B...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Rotating bits in C This rotates bits to the left which means the bits that were...
- Implement a method that meets the following requirements: (a) Takes as parameter 1) an int array...
- Write a function that takes a binary search tree as input and produces a linked list...
- XYZ Company is considering purchasing a piece of equipment costing $400,000. It has a useful life...
- Reflection of the short film "How Wolves Change Rivers" and Aldo Leopold's "Thinking Like A Mountain".
- What kind of rebar would be most cost effective for foundation? Would it be to design...
- Why would UnderArmour want to be sure that consumers can clearly see different models ( about...
ADVERTISEMENT