Answer: 24.2
Step-by-step explanation:
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
I think it’s 90 just add them up the subtract 180
Answer:
Answer: OPTION B
Step-by-step explanation
By definition, the parent function is the simplest form of a function. In this case, you have the quadratic parent function
As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:
Therefore, the equation of the function g(x) is:
Answer:
The number of skateboard company sell during the month of August = 55
Step-by-step explanation:
We have given,
Profit function for Bob, P = x²+ 10x - 12
Bob's profit during August month is $3,563
That means, P = $3,563
We can use the profit formula given for Bob's profit:
P = x² + 10x - 12
Plug P =$3,563 in above formula.
i.e 3,563 = x² + 10x - 12
or 0 = x² + 10x -12 - 3,563
or 0 = x² + 10x - 3575
or x = 55, -65
Since number of skate boards can not be negative.
So we consider x= 55
Hence the number of skateboard company sell during the month of August = 55.