Answer: 0.1008188
Step-by-step explanation:
The question will usng the poisson distribution formula:
Given :
Mean(λ) number of occurrence in a given interval = 3
P(X=x) = Probability of exactly x occurrence in a given interval
Number of desired occurence(x) = 5
P(X=x) = [(λ^x) * (e^-λ)] / x!
Where ; e = base of natural logarithm = 2.7182818
P(X=5) = [(3^5) * (e^-3)] / 5!
P(X=5) = [(243) * (0.0497870)] / 120
P(X=5) = [12.098257] / 120
P(X=5) = 0.1008188
The graph of f(x) + 1 is the graph in the option C.
<h3>
Which is the graph of f(x) + 1?</h3>
For a given function f(x), a vertical translation is written as:
g(x) = f(x) + N
- If N > 0, then the translation is upwards.
- If N < 0, then the translation is downwards.
Here we have g(x) = f(x) + 1, so we have a translation of 1 unit upwards, the graph of f(x) + 1 is the graph of f(x) but translated one unit upwards.
From that, we conclude that the correct option is C.
If you want to learn more about translations:
brainly.com/question/24850937
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Answer:
The probability of hitting the circular area = P(H) = favorable area/ total area = Area of the circle / Area of the square
Step-by-step explanation:
= π/9
Answer:
Step-by-step explanation:
We know that the point (-6, 1) belongs to the main function g(x)
The transformation
add 1 to the input variable (x) and subtract 5 to the output variable (y)
So the point in the graph of is
The point is:
The transformation
subtract two units from the input variable (x), multiply the output variable (y) by -2 and then add 4 units
So the point in the graph of is
The point is:
The transformation
Multiply the input variable (x) by 2 and then add two units
So the point in the graph of is
The point is:
