The number of possible outfits would be 168 outfits. YOu can mix and match up to 168 number of outfits from these set. This is an example of counting principle. In this principle, one event has n possibilities then a second independent variable have m outcomes. Then, the total possibilities would be n times m.
Answer:
x-inercept = 1 y-intercept = -4
Step-by-step explanation:
Coordinates of C ( 3, - 2 ). After the rotation for 90° clockwise new coordinates would be C ` ( - 2, - 3 ).
Answer:
B ) ( x , y ) → ( y, -x ) ; C`( -2, - 3 )
Answer:
If the lines area parallel: x = 69 degrees
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