You are having a birthday party and invited 38 people. Each table you rented only sits 5 people.
How many tables would you need to rent for everyone to have a place to sit? <span>You would have to rent the 8th table for the remaining 3 people to sit at. </span>
Answer:
a) For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:

Where a and b represent the limits of the distribution.
b) 
And the height for this case would be 0.125
Step-by-step explanation:
Part a
For this case we define the random variable as X ="waiting time during peak hours" and we know that this distribution follows an uniform distribution:

Where a and b represent the limits of the distribution.
Part b
For this case the density function would be given by:

And the height for this case would be 0.125
And
for other case.
The cumulative distribution function would be given by:



The value of 
Step-by-step explanation:
Given: The function 
Using this formula, we need to find the value of 
Hence, we need to substitute
by
to find the value of 

Multiplying the term
by
, we get,

Adding the constant term,

Thus, the value of
is 
8x - 3/x
x = 1/2
(8 • 1/2) - 3/0.5
4 - 1.5
2.5