I believe it's 3/10 but I'm not confident about that.
Answer:
Step-by-step explanation:
Part A
Let's see what the total ways of eight might be.
Dice (6 sides) Dice (4 sided)
6 2 You can't reverse them
5 3 You can't reverse these either.
4 4 You can't have a meaningful reversal.
That looks like all there is. So what's the universe of this set?
6 * 4 is the total number of combinations.
You have 3 that work.
P(A) = 3/24 = 1/8 = 0.125
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Part B
There are 4 sets of doubles. As you can see, there is not 2 creations, so the answer is
P(B) = 4/24 = 1/6 = 0.1667
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Part C
P(A + B) = only 1 instance (4,4)
1/24 = 0.04167
======================
No they are not independent. They can both happen.
Answer:
Final answer is 
Step-by-step explanation:
Given expression is
.
Now we need to subtract them.
We are allowed to subtract like terms only that has same variable with same exponent.






Hence final answer is 
The chances of getting 6 on a six-sided die are 1/6, therefore the first one is correct.
Answer:
69.50%
Step-by-step explanation:
Given:
Ayrshire cows:
E(X) =μ = 47
SD(X) = σ = 6 Var (X) = 6^2 = 36
Jersey cows:
E(Y) = μ = 43
SD(Y) = σ = 5 Var(Y) = 52 = 25
Properties mean, variance and standard deviation:
E(X +Y) = E(X) E(Y)
V ar(X +Y) = Var(X) + Var(Y)
SD(X +Y) = √Var(X)+Var(Y)
X — Y represents the difference between Ayrshire and Jersey cows.
E(X — Y) = E(X) — E(Y). 47 — 43 = 4
SD(X — Y) = √Var(X)+ Var(Y) =√36+ 25 = √61 = 7.8102
The z-score is the value decreased by the mean, divided by the standard deviation:
z = x-μ /σ = 0-4/ 7.8102 = -0.51
Determine the corresponding probability using table Z in appendix F.
P(X—Y
0) = P(Z > —0.51) = 1—P(Z < —0.51) = 1-0.3050 = 0.6950 = 69.50%