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 


"Quantitative" information is information that consists of numbers
and tells you the measure (quantity) of something.
The cost, mileage, and weight of the car are all quantitative items.
The model of the car may have numbers in it, but it doesn't tell
the measure of anything. It isn't quantitative data.
Mean diameter = 25 mm
Standard deviation = 0.2 mm
25.6 mm - 25 mm = 0.6 mm
0.6 mm : 0.2 mm = 3
Answer:
A ball bearing with a diameter 25.6 mm differs from the mean
D ) 3 standard deviations.
30x-x-144 might get you closer