Probability of green die being even: 3/6, which simplifies to 1/2 (2, 4, 6 are even and 1, 3, 5 are odd)
Probability of blue die being even: 3/6, which simplifies to 1/2.
Compound probability:
1/2* 1/2= 1/4
Final answer: 1/4
Answer:
<h2>It is Theoretical probability.</h2>
Step-by-step explanation:
Theoretical probability determines the likelihood of some incidents to happen.
Theoretical probability is the ratio between the total number of possible outcomes and the desired outcome.
Here, the desired outcome is getting a 2 that is only one desired outcome, where as total possible outcomes are 6. Here, the probability of getting a 2 is
.
Empirical probability depends on observance. In the given question, nothing related to observance of the given incident has mentioned, hence it is not empirical probability.
Answer:

Step-by-step explanation:
The following piecewise functions are linear functions. The graph of any of them is a line segment.
We just need to calculate the value of the function at each end specified in the brace.

Substitute x =-1 and x = 0:

Range of this piece is [-5; -2)

Substitute x =0and x = 5:

Range of this piece is [3; 13)
Therefore the range of the following piecewise function is:

Look at the picture.
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
72:80
9:10
Divide 72 and 80 by 8 to simplify it and get the ratio