Answer:
a) P ( 3 ≤X≤ 5 ) = 0.02619
b) E(X) = 1
Step-by-step explanation:
Given:
- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:
Find:
a.Calculate the probability that 3 ≤X≤ 5
b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that
Solution:
- The CDF gives the probability of (X < x) for any value of x. So to compute the P ( 3 ≤X≤ 5 ) we will set the limits.

- The Expected Value can be determined by sum to infinity of CDF:
E(X) = Σ ( 1 - F(X) )

E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]
E(X) = 1
Answer:
more than one triangle
Step-by-step explanation:
Answer:
y+9=-1(x-4)
Step-by-step explanation:
Point Slope Form is:

When:
'm' is the slope.
is the coordinate.
We are given the slope of -1 and the coordinate of (4,-9).
So:

Using the information and replacing the values we get:

So, the line equation in point slope form should be: y+9=-1(x-4)
<em>Brainilest Appreciated. </em>
We have the following expression given:

We can start selecting as common factor 4y^2 and we got:

Now we can select y+7 as common factor and we got:

So then our final answer would be:
Answer: According with the graph, the input value for which the statement f(x)=g(x) is true (the value of "x" where the graph intersect) is 1.5 (third option).
Solution
The input value for which the statement f(x) = g(x) is true, is the value of "x" where the graph of the two functions intersect. Accordind with the graph, the two functions f(x) and g(x) intersect at x between 1 and 2, approximately at x=1.5