Answer:

Step-by-step explanation:
The probability density function is :

With 0 < x < 3
To be a valid probability density function :

Where a < x < b
And also
f(x) ≥ 0 for a < x < b
Applying this to the probability density function of the exercise :





We can verify by replacing ''c'' in the original probability density function and integrating :


Also, f(x) ≥ 0 for 0 < x < 3
Answer: 21 square units
Step-by-step explanation:
We know that the area of parallelogram is given by:-

Let US denote the height of the Parallelogram RSTU with corresponding base ST.
By counting the distance between the points using grids or by distance formula,
US=
ST=
Now, the area of parallelogram RSTU is given by:-

Answer:
Step-by-step explanation:
Given is the probability distribution of a random variable X
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) E(X) = Mean of X = sum of xp = 5.3

Std dev = square root of variance = 0.9
------------------------------------
b) For sample mean we have
Mean = 5.3
Variance = var(x)/n = 
c) 
Answer:
193650
Step-by-step explanation:
Since the cost must be no more than 387$, you can substitute that number instead of y to get 387 = 0.002x - 0.30. you can add 0.30 to both sides to get 387.3 = 0.002x
Then you can divide both sides by 0.002 to get 387.3/0.002 = 193650
Depending on when you get your interest rate. but it will double the second you get your interest rate, because it is a 100% interest
hope this helps
(it can be daily, weekly, monthly, etc)