Question: Use probability matrix for changes from sunny, cloudy, and rainy days. Assume that the initial probability distribution for a sunny, cloudy, or rainy day is

Use probability matrix for changes from sunny, cloudy, and rainy days. Assume that the initial probability distribution for a sunny, cloudy, or rainy day is not a single state, but some combination of the 3 states.

If the relative probability of a sunny, cloudy, or rainy day after 4 days is (0.4382, 0.2362, 0.3256), what was the state on day 0? Use a matrix inverse to work backwards.

Answer: (0.9, 0.1, 0.0).

Please show step-by-step work.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Over a very long period of time, it has been noted that on Friday's 25% of the customers at the drive-in window at the bank make deposits. What is the probability that it takes 4 customers at the...

1) Suppose X ~ N130, 25 . Find; a) P(X 140) b) P(X 120) c) P(130 X 135) 2) The random variable X is normally distributed with mean 500 and standard deviation 100. Find; (i) P(X 400) , (ii) P(X 620)...

4.4 The New England fall weather can be classified as sunny, cloudy, or rainy. A student conducted a detailed study of the weather conditions and came up with the following conclusion: Given that it...

The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been observed to be predictable largely on the basis of the weather on the previous day. Specfically: if it is...

3. {2D points} Suppose that the weather in Ann Arbor in July can be characterized as sunny, rainy, or cloudy [with no rain}. By looking up back issues of the Ann Arbor vas, we estimate that if it is...

Suppose that the weather in Ann Arbor in July can be characterized as sunny, rainy, or cloudy (with no rain). By looking up back issues of the Ann Arbor News, we estimate that if it is sunny on a...

Please help me on these following questions below with the explanation.. Thank you, 1. Consider tossing a fair six-sided die once. Define eventA = {The value on the die is an odd number}. What is...

Consider using Markov chains to model changes in weather at a ski resort, and try to use the model to help describe the operation and maintenance of the ski mountain equipment and the ways in which...

Markov Matrices Markov Matrices. also known as Markov Chains. are used to model systems (or processes} that evolve through a series of stages. At each stage. the system is in one of a nite number of...

Please, using Matlab to answer each question a5.mat is a matrix with 30x30 size Part (a) A university runs computer labs with many computers. Each day each computer is in one of two states: It is...

A ball is thrown straight up into the air has the height H(t) = - 16t2 + 96t feet after 't' seconds. Find the maximum height it can attain. O 25 feet O none of the given options 9 feet O 144 feet

On January 12, 2013, Mr. and Mrs. Nixon moved out of their old residence (where they had lived for 22 years) and into a new residence purchased nine days earlier on January 3. They nally sold their...

You paid $ 8 8 2 . 7 4 for a 1 0 - year bond with a coupon rate of 7 . 7 5 % . What would be your annual retum rate if you hold the bond unitil maturity? 9 . 2 % 9 7 % 9 . 3 % 1 0 1 % 9 . 6 %

I need some assistance with explaining how an analysis of Averages is used in any way by any professional Sports Team to improve the performance of the team. I need to include a few examples of a...

11. What types of information collected are most frequently used in decision-making?

10. How much time does it take between when we collect information until it is used in decision-making?

2. Ask questions, listen rather than attempt to persuade.