(2 5/6)(6)+(-1 1/2)(1.5)-(1/16)
1 answer:
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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:
Given:
The number is .
To find:
The location of the given number of the number line.
Solution:
We have,
It can be written as
It means the number is less than -1 but more than -2. So, the number lies between -2 and -1.
The mixed fraction form of given number is
Divide the number in 5 equal parts between two consecutive integers.
Now each unit represents .
Since , therefore, it is 2 units left from -1.
The number line is given below.
