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3 years ago

9

Let P = 0.5 0.1 0.5 0.9 be the transition matrix for a Markov chain with two states. Let x0 = 0.5 0.5 be the initial state vecto

r for the population. What proportion of the state 2 population will be in state 2 after two steps?

1 answer:

max2010maxim [7]3 years ago

7 0

Answer:

Complete solution is given in the images attached below for better demonstration

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He had to wait 1 hour and 45 minutes at the airport in San Francisco. Then Frank

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Step-by-step explanation:

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(b) Out of 200 students in an examination of class IX, 140 passed in Maths, 120 passed in Scien

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Answer:

n(U)=200

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2 years ago

Brad and Angelina can mow their yard together with two lawn mowers in 30 min. When brad works alone it takes him 45 min. How lon

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Wouldn't it be 45 minutes as well?

Step-by-step explanation:

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3 years ago

certain computer virus can damage any file with probability 35%, independently of other files. Suppose this virus enters a folde

Ksivusya [100]

Answer:

0.623 is the probability that between 800 and 850 files get damaged.

Step-by-step explanation:

We are given the following information:

We treat virus can damage computer as a success.

P( virus can damage computer) = 35% = 0.35

The conditions for normal distribution are satisfied.

By normal approximation:

$\mu = np = 2400(0.35) = 840\\\sigma = \sqrt{np(1-p)} = \sqrt{2400(0.35)(1-0.35)} = $$23.36$

We have to evaluate probability that between 800 and 850 files get damaged.

$P(800 \leq x \leq 850) = P(\displaystyle\frac{800 - 840}{23.36} \leq z \leq \displaystyle\frac{850-840}{23.36}) = P(-1.712 \leq z \leq 0)\\\\= P(z \leq 0.428) - P(z < -1.712)\\= 0.666 - 0.043 = 0.623 = 62.3\%$

$P(800 \leq x \leq 850) = 62.3\%$

0.623 is the probability that between 800 and 850 files get damaged.

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3 years ago