Answer:

Step-by-step explanation:
Given



Required
Determine 
From laws of probability, we have:

Substitute in values


Hence,
<em> is calculated to be 0.557</em>
-1/2 = -3/6
-3/6 + 1/6 = -2/6
-2/6 = -1/3
-1/3 is your answer
hope this helps
The valid probability distributions are the ones in options C and D.
<h3>
Which of the following are valid probability distributions?</h3>
For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:
- All of these probabilities are numbers between 0 and 1.
- p₁ + p₂ + ... + pₙ = 1.
So, for the first rule we can discard the first option, where we have negative probabilities.
To check the other 4 options, just add the probabilities and see if the addition gives 1.
The options that add up to 1 are C and D, so these two are the correct options.
D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1
C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
Not 100% sure this is right but
60cm^2
In cylindrical coordinates, we take



so that
.
We have

and the integral is
