B. A family on a University campus has a 150-gallon tank that is filled at the beginning of each week. The weekly demand of the family shows a relative frequency behaviour that increases steadily up to 100 gallons and then levels off between 100 and 150 gallons. If X denotes weekly demand in hundreds of gallons, the relative frequency of demand can be modelled by 0sxs1) (x, f(x) = }1, 1
B. A family on a University campus has a 150-gallon tank that is filled at the beginning of each week. The weekly demand of the family shows a relative frequency behaviour that increases steadily up to 100 gallons and then levels off between 100 and 150 gallons. If X denotes weekly demand in hundreds of gallons, the relative frequency of demand can be modelled by 0sxs1) (x, f(x) = }1, 1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![B. A family on a University campus has a 150-gallon tank that is filled at the beginning of
each week. The weekly demand of the family shows a relative frequency behaviour that
increases steadily up to 100 gallons and then levels off between 100 and 150 gallons. If X
denotes weekly demand in hundreds of gallons, the relative frequency of demand can be
modelled by
0sxs1)
(x,
f(x) = }1, 1<x < 1.5
(o, elsewhere)
i) Find F(x)
ii) Find P(0 < X < 0.5)
iii) Find P(0.5 < X S 1.2)
iv) Find P(X 2 1|X < 1.4)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0f7e722-edd0-499c-a842-e1d4cec5cc46%2F0ab2050a-385d-4e70-9e1a-6aeb858c3d24%2Firn7x2_processed.png&w=3840&q=75)
Transcribed Image Text:B. A family on a University campus has a 150-gallon tank that is filled at the beginning of
each week. The weekly demand of the family shows a relative frequency behaviour that
increases steadily up to 100 gallons and then levels off between 100 and 150 gallons. If X
denotes weekly demand in hundreds of gallons, the relative frequency of demand can be
modelled by
0sxs1)
(x,
f(x) = }1, 1<x < 1.5
(o, elsewhere)
i) Find F(x)
ii) Find P(0 < X < 0.5)
iii) Find P(0.5 < X S 1.2)
iv) Find P(X 2 1|X < 1.4)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given information:
Step 2
(i)
The value of will be calculated as,
When , the value of will be,
When ,
When
When
So, the value of is given as,
Step 3
(ii)
The value of the will be calculated as,
So, the value of is 0.125.
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