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1 answer:
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The value of a is
Step-by-step explanation:
<u>1. Determine the other solution of x</u>
If one value is 5 + then the other value is 5 -
<u>2. Use reverse technique to find the equation</u>
(5 + ) (5 -
) = 0
25 - +
-
= 0
- + 25 = 0
<u>3. The equation is</u> - + 25 = 0
<u>4. Find the value of a</u>
a is the number with the variable therefore it is -
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Answer:
c = 0.165
Step-by-step explanation:
Given:
f(x, y) = cx y(1 + y) for 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3,
f(x, y) = 0 otherwise.
Required:
The value of c
To find the value of c, we make use of the property of a joint probability distribution function which states that
where a and b represent -infinity to +infinity (in other words, the bound of the distribution)
By substituting cx y(1 + y) for f(x, y) and replacing a and b with their respective values, we have
Since c is a constant, we can bring it out of the integral sign; to give us
Open the bracket
Integrate with respect to y
Substitute 0 and 3 for y
Add fraction
Rewrite;
The is a constant, so it can be removed from the integral sign to give
Integrate with respect to x
Substitute 0 and 3 for x
Multiply both sides by