I guess you're asking about the probability density for the random variable where are independent and identically distributed uniformly on the interval (0, 15). The PDF of e.g. is
It's easy to see that the support of is the same interval, (0, 15), since , and
• at most, if and , or vice versa, then
• at least, if , then
Compute the CDF of :
This probability corresponds to the integral of the joint density of over a subset of a square with side length 15 (see attached). Since are independent, their joint density is
The easiest way to compute this probability is by using the complementary region. The triangular corners are much easier to parameterize.
In the second integral, substitute and , so that
which is the same as the first integral. This tells us the joint density is symmetric over the two triangular regions.
Then the CDF is
We recover the PDF by differentiating with respect to .
Answer:
2 and 4
Step-by-step explanation:
The square root of 10 is 3.16, which is between 2 and 4.
I DON'T KNOW
Answer:
-2=v
Step-by-step explanation:
(v-2)3=v6 use the distributive property
3v-6=6v move the variables to one side
-6=3v islolate the variable by dividing both sides by 3
-2=v solution
Answer:43.5
Step-by-step explanation: line up then add
Answer:
no, he is short 72 roses
Step-by-step explanation:
to find this out, we need to find out the area of the planned garden, we do this by multiplying width by length as shown
18 * 204 = 3,672
then we subtract the number of roses from the planed garden area
3,672 - 3,600 = 72
meaning that we are left with 72 spots missing or without a rose