Ask question

# Advanced Math Find the final form of the median and range for uniform distribution (0,1) for order statistics. # Advanced Math Find the final form of the median and range for uniform distribution (0,1) for order statistics.

Question
Upper Level Math asked 2020-12-31
Advanced Math
Find the final form of the median and range for uniform distribution (0,1) for order statistics.

## Answers (1) 2021-01-01
Step 1-Introduction
It is required to find the median and range for uniform distribution (0, 1).
Hence, the uniform distribution is U(0, 1) here and a = 0, b = 1.
The formulas for the median and range of the uniform distribution are as follows.
$$\displaystyle{M}{e}{d}{i}{a}{n}=\frac{{{a}+{b}}}{{2}}$$
Range=b-a
Step 2-Calculation
Here, a = 0 and b =1.
The median will be equal to:
$$\displaystyle{M}{e}{d}{i}{a}{n}=\frac{{{a}+{b}}}{{2}}$$
$$\displaystyle=\frac{{{0}+{1}}}{{2}}$$
=1/2 or 0.5
The range will be equal to:
Range = b -a
= 1 - 0
= 1
Hence, the median and range for uniform distribution (0, 1) is 0.5 and 1 respectively.

### Relevant Questions asked 2021-01-16
Advanced Math
Find the final form of the median and range for uniform distribution (0,1) for order statistics. asked 2020-11-16
Advanced Math
A bipolar alkaline water electrolyzer stack module comprises 160 electrolytic cells that have an effective cell area of $$\displaystyle{2}{m}^{{2}}$$. At nominal operation, the current density for a single cell of the electrolyzer stack is 0.40 $$\displaystyle\frac{{A}}{{c}}{m}^{{2}}$$. The nominal operating temperature of the water electrolyzer stack is $$\displaystyle{70}^{\circ}$$ C and pressure 1 bar. The voltage over a single electrolytic cell is 1.96 V at nominal load and 1.78 V at 50% of nominal load. The Faraday efficiency of the water electrolyzer stack is 95% at nominal current density, but at 50% of nominal load, the Faraday efficiency decreases to 80%.
(Give your answer to at least three significant digits.)
Calculate the nominal stack voltage:
Answer in V
Calculate the nominal stack current:
Answer in A
Calculate the nominal power on the water electrolyzer stack:
Answer in kW asked 2020-11-30
in Advanced Math
New Covid-19 patients arrive at the emergency room in Sultan Qaboos Hospital at a mean arrival rate of 18.8 patients per hour. Use Poisson distribution to compute the probability that at least three new patients will arrive at the emergency room within a 15-minute interval? asked 2020-12-27
Advanced Math
If the height of a pyramid is increased by 60% and the length of an arm of a square is reduced by 35%, how much will the size of the pyramid increase or decrease? asked 2021-02-05
Advanced Math
Which one is a simplified expression for A(A'+B')(B+C)(B+C'+D) asked 2021-03-07
There is currently a global pandemic and many researchers and scientists are working assiduously to find a vaccine. Assume that Advanced Researcher, a company that is currently testing a few vaccines confirms an 80% chance of effectiveness of one of their vaccines.
Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society? asked 2021-05-13
A boy is to sell lemonade to make some money to afford some holiday shopping. The capacity of the lemonade bucket is 1. At the start of each day, the amount of lemonade in the bucket is a random variable X, from which a random variable Y is sold during the day. The two random variables X and Y are jointly uniform.
Find and sketch the CDF and the pdf of 'Z' which is the amount of lemonade remaining at the end of the day. Clearly indicate the range of Z asked 2021-02-08
Tories bookcase holds one algebra book one geometry book and 12 books about advanced engineering mathematics. Books are taken at random from her book case, one after another without replacement until an engineer book is had, at which no more books are taken. The random variable Z represents the total number of books taken during this experiment.
Find $$\displaystyle{P}{r}{\left[{z}={3}\right]}$$ asked 2020-10-27
At a High school, 70% of the seniors have taken an advance calculus course. Of those who have taken Advanced Calculus, 60% will apply for a Pre-Health science major when they apply for college admission. Of those who have not taken advanced calculus, 40% will apply for a Pre-Health science major when they apply for college admission. A senior is selected at random. What is the probability that the senior have taken advanced calculus, given that the senior will apply for a pre-health science major? asked 2020-12-16
At a certain university 523 of the seniors are history majors or math majors(or both).There are 100 senior math majors, and 33 seniors are majoring in both history and math. How many seniors are majoring in history?
...