Answer:
The distribution is 
Solution:
As per the question:
Total no. of riders = n
Now, suppose the
is the time between the departure of the rider i - 1 and i from the cable car.
where
= independent exponential random variable whose rate is 
The general form is given by:

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:


Now, the sum of the exponential random variable with
with rate
is given by:

Answer:
Step-by-step explanation:
Given a total of 12 diesel engines
out of which 2 are defective
Company have to choose 5 good engines to ship.
Therefore no of ways in good engines are selected is 
no of ways in which any 5 engines are selected from a total of 12 engines is

Therefore the required probability =
=
=0.318
Answer: its 1/4 per minute i took the test
Step-by-step explanation:
Answer:
-2 ≤ n < 8
Step-by-step explanation:
_________________
In rectangular form, we have the coordinates 