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:

Answer:8
Step-by-step explanation: behind the x value (5) there are 2 ages that had a value. You add the two values (5+3) and you get 8.
Final answer is 8.
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
Answer: W=-1.8
Step-by-step explanation:
Divide both sides by 2.02 and you are left with W=-1.8.
Hope this helps!