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GrogVix [38]
1 year ago
13

The graph of a function h is shown below.

Mathematics
1 answer:
kipiarov [429]1 year ago
3 0

According to the graph of the function, it is found that:

a) h(2) = 1.

b) h(x) = -3 when x = -4.

<h3>What is h(2)?</h3>

Looking at the graph, h(2) is given by the value of y when x = 2, that is, the value of the vertical axis when the horizontal axis is of 2. Hence, h(2) = 1.

<h3>What is the value of x for which h(x) = -3?</h3>

Looking at the graph, it is given by x when y = -3, that is, the value of the horizontal axis when the vertical axis is of -3, hence, h(x) = -3 when x = -4.

More can be learned about functions at brainly.com/question/25537936

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Verify that the following function is a probability mass function, and determine the requested probabilities. f left-parenthesis
Licemer1 [7]

Answer:

f(x) = \frac{27}{13} (\frac{1}{3})^x , x=1,2,3

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We can find the individual probabilities and we got:

f(1)= \frac{27}{13} (\frac{1}{3})^1 =0.6923

f(2)= \frac{27}{13} (\frac{1}{3})^2 =0.2307

f(3)= \frac{27}{13} (\frac{1}{3})^3 =0.0770

And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.

P(X \leq 1) = P(X=1) =0.6923

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P(2

Step-by-step explanation:

For this case we have the following density function:

f(x) = \frac{27}{13} (\frac{1}{3})^x , x=1,2,3

In order to satisfty that this function is a probability mass function we need to check two conditions:

1) f(x_i) \geq 0, \forall x_i

2) sum_{i=1}^n P(X_i) =1

We can find the individual probabilities and we got:

f(1)= \frac{27}{13} (\frac{1}{3})^1 =0.6923

f(2)= \frac{27}{13} (\frac{1}{3})^2 =0.2307

f(3)= \frac{27}{13} (\frac{1}{3})^3 =0.0770

And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.

And if we want to find the following probabilities:

P(X \leq 1) = P(X=1) =0.6923

P(X>1) = P(X=2) +P(X=3) = 0.2307+0.0770=0.3077

P(2

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Domain: [2,∞)
Range: [0, ∞)

hope it helps!
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