Suppose that A, B, C, are independent random variables, each being uniformly distributed over (0, 1). (a) What is the joint cumu
lative distribution function of A, B, C? (b) What is the probability that all of the roots of the equation Ax2 + Bx + C = 0 are real?
1 answer:
Answer:
a) F (A , B,C)(a,b,c) = abc
b) Answer is in derivative
Step-by-step explanation:
Hence area is maximum x=6
For ( a,b,c) ∈ (0,1)
We have that
F A, B,C (a,b,c) = A≤ a , B≤ b , C≤c
=P (A≤a) P (B≤b) P (C≤c)
A , B, C ≈ unit (0,1) we have that
P (A≤a) =a
P (B≤b) =b
P (C≤c)=c
Thus
F (A , B,C)(a,b,c) = abc
b) Answer is in derivative
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Hence, Option D is correct.
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Answer:
In order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.
Step-by-step explanation:
As the recipe is missing in this question, the recipe is found online which given following information
- Abel needs 5 cups of flour to make brownies.
- If Abel uses 4 cups of sugar.
- he will need to use 2 cups of cocoa powder.
- The recipe will make brownies if Abel uses only 1 egg.
Abel has to make 45 brownies for the sale, this is also missing in this question, however is given in the reference question linked here.
This recipe is to make 9 brownies. Now for 45 brownies the multiplier is found as 45/9=5. So by multiplying quantity of all the ingredients by 5, Abel will be able to make 45 brownies.
Now in order to make 45 brownies
- Abel needs 5*5 =25 cups of flour to make brownies.
- If Abel uses 5*4=20 cups of sugar.
- he will need to use 5*2=10 cups of cocoa powder.
- The recipe will make brownies if Abel uses only 5*1=5 egg.
So in order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.
<h2>Explanation:</h2><h2></h2>
We know that the volume of a prism is defined by:
Substituting values: