Answer:
0.36427
Step-by-step explanation:
Mean = λ = 18 messages per hour
P(X = x) = (e^-λ)(λ⁻ˣ)/x!
P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)
But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)
P(15 < X < 20) = P(X < 20) - P(X ≤ 15)
These probabilities will be evaluated using a cumulative frequency calculator.
P(X < 20) = 0.65092
P(X ≤ 15) = poissoncdf(18, 15) = 0.28665
P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.
You can use the Poisson distribution calculator here
https://stattrek.com/online-calculator/poisson.aspx
Answer:
yes, the given relation is a function.
Step-by-step explanation:
The given relation is
{(–3, –2), (–1, 0), (1, 0), (5, –2)}
A relation is called function if each element of the domain is paired with exactly one element of the range.
It means for each value of x there exist a unique value of y.
In the given relation for each value of x there exist a unique value of y.
Therefore the required solution is yes and this relation is a function.
Answer:
- y = -5/2x + 5
- y = 2x -1
- y = 24/11
- y = 4x + 4
Step-by-step explanation:
To solve for y, subtract the x-term and divide by the coefficient of y.
5x +2y = 10
2y = -5x +10
y = -5/2x + 5
__
2y -4x = -2
2y = 4x -2
y = 2x -1
__
7y +4y = 24
y = 24/11
We assume there is a typo, but cannot tell what it is. Use the same method as described and demonstrated for the other problems.
__
-2x +1/2y = 2
1/2y = 2x +2
y = 4x +4
Answer:
No you wouldn't because you are not dividing or multiplying by a negative number.
Step-by-step explanation:
