Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;
Now 
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;
Now; 
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of 
given that X(t)=5 is:
For this case we have the following functions:
We must find
when 
.
So:
We apply distributive property to the terms within parentheses taking into account that:
We add similar terms taking into account that different signs are subtracted and the sign of the major is placed:
Thus, we have to:
Then, with x = 2:
Equal signs are added and the same sign is placed.
Answer:
Answer:
It was a 25% discount
Step-by-step explanation:
25 percent of 20 is 5. You subtract 5 from 20 and get 15.
I hope this helps.
Gosh, I've done this problem before. Let's start with 13. In this problem, we're basically just skip counting. For example, in the roses row, in the second bouquet, we know we have to add 4 more flowers, so we can document 8. Continue to skip count for both. For 15, we would have about 96 more movie posters remaining, making our ratio 96:x. So, 96:x = 120:100. Therefore, x would equal 80- as 96:80 equals 120:100. If she needs 80 and already had 100, she should sell 20 posters. Hope this helped.
First you need to find the area of the whole circle.
The radius is given as 10, so just insert 10 into the equation of the area of a circle equation.
Putting
after the 100 because that is what is commonly done.
Because the circle is then being split into 4 equal sections, we need to find 1/4 of the area of the whole circle to find the area of one of these sections.
Since the area of the whole circle is
then we just divide that by 4,
leaving us with 25
and that is our final answer
