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:
About 8.6 units.
If you count up and sideways, it would be 12, but then there is some stuff we need to calculate at the end because it's not fully.
Answer:
M(t) = M(16 - 2·t)
Step-by-step explanation:
The function is just formed by using the concept of composite functions.
B is cups of blueberries, and n is cups of blueberries,
So by substituting values the required equations formed are given by :
B(t) = 2·(8 - t)
M(n) = 12·n
n = B(t)
M(t) = M(n)
= M(B(t))
= M(2·(8 - t))
= M(16 - 2·t)
Therefore, this is the required function muffins M
Step-by-step explanation:
The product of <em>a</em> and <em>b</em> is equal to <em>a · b.</em>
Let <em>w - width</em> and <em>l - length</em>, then the product of the width and the lenght is
<em>w · h = wh</em>
Answer:
10.26 in²
Step-by-step explanation:
The area (A) of the sector is
A = area of circle × fraction of circle
= πr² × 
= π × 2.8² × 
≈ 10.26 in²
