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2 years ago

5

In a certain study, the chance of encountering a car crash on the roadstudy, the chance of encountering a car crash on the road

is stated as 10%. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

1 answer:

pshichka [43]2 years ago

8 0

10% as a decimal (a value between 0 and 1) is 0.1

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1 year ago

A line passes through the points (1, 4) and (0, 0). What is its equation in slope-intercept form?

malfutka [58]

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Step-by-step explanation:

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1 year ago

The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either

Ad libitum [116K]

Answer:

The steady state proportion for the U (uninvolved) fraction is 0.4.

Step-by-step explanation:

This can be modeled as a Markov chain, with two states:

U: uninvolved

M: matched

The transitions probability matrix is:

$\begin{pmatrix} &U&M\\U&0.85&0.15\\M&0.10&0.90\end{pmatrix}$

The steady state is that satisfies this product of matrixs:

$[\pi] \cdot [P]=[\pi]$

being π the matrix of steady-state proportions and P the transition matrix.

If we multiply, we have:

$(\pi_U,\pi_M)*\begin{pmatrix}0.85&0.15\\0.10&0.90\end{pmatrix}=(\pi_U,\pi_M)$

Now we have to solve this equations

$0.85\pi_U+0.10\pi_M=\pi_U\\\\0.15\pi_U+0.90\pi_M=\pi_M$

We choose one of the equations and solve:

$0.85\pi_U+0.10\pi_M=\pi_U\\\\\pi_M=((1-0.85)/0.10)\pi_U=1.5\pi_U\\\\\\\pi_M+\pi_U=1\\\\1.5\pi_U+\pi_U=1\\\\\pi_U=1/2.5=0.4 \\\\ \pi_M=1.5\pi_U=1.5*0.4=0.6$

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.

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2 years ago

You roll two number cubes, what is the probability of rolling two 5’s?

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2 years ago

James recycled 22 1/2 pounds of aluminum in one week. Matt recycled 18 3/7 pounds of aluminum the same week. How many more pound

guajiro [1.7K]

Answer:

The answer is 22 1/2-18 3/7. first we need to get a common denominator for the fractions. I will do 14. Now we have 22 7/14-18 6/14=4 1/14 ez

Step-by-step explanation:

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2 years ago