Answer:
Step-by-step explanation:
We know that
Given
Here a=4 and b=
Using the above property we get
=
We know that
using the above property we get
==
Answer:
156
Step-by-step explanation:
Area of Base=length x width
1) 15 = 5(x + 2)
15 = 5x + 10
15 - 10 = 5x + 10 - 10
5 = 5x
5/5 = 5x/5
1 = x
2) 5n + 34 = -21(1-7n)
5n + 34 = -21 + 147n
5n + 34 = -21 + 147n
5n - 147n + 34 = -21 + 147n - 147n
-142n + 34 = -21
-142n + 34 - 34 = -21 - 34
-142n = -55
-142n/-142 = -55/-142
n = 55/142
Hopes this helps:
Answer: 2x^4(1-6x^3)
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