Х-100%
36-0,06%
x=(36*100)\0,06=60000
Answer:60000
Answer:
.26
Step-by-step explanation:
(.01)(26)=.26
Answer:
(2, 0)
Step-by-step explanation:
First, find how the other point was transformed:
The x coordinate increased by 1, and the y coordinate increased by 4.
Now, do these same transformations to the other point, (1, -4)
x coordinate: 1 + 1 = 2
y coordinate: -4 + 4 = 0
So, the new point is (2, 0)
Answer:
Step-by-step explanation:
Recall that since X is uniformly distributed over the set [1,4] we have that the pdf of X is given by 
if 
and 0 otherwise. In the same manner, the pdf of Y is given by 
if 
and 0 otherwise.
Note that if Y is in the interval (4,5] then Y>X by default. So, in this case we have that P(Y>X| y in (4,5]) = 1. We want to calculate the probability of having Y in that interval . That is
. Thus, 
.
We want to proceed as follows. Using the total probability theorem, given two events A, B we have that
In this case, A is the event that Y>X and B is the event that Y is in the interval (4,5].
If we assume that X and Y are independent, then we have that the joint pdf of X,Y is given by 
when 
. We can draw the region were Y>X and the function h(x,y) is different from 0. (The drawing is attached). This region is described as follows: and 
, then (the specifics of the calculations of the integrals are ommitted)
Thus,
Answer:
3/5
Step-by-step explanation:
