Statistics

All questions can be done in theory. You do not need to build paper helicopters. Context: A researcher would like to investigate how long a paper “helicopter” can stay in the air, where the helicopter...

Prove that \lim_{n\rightarrow \infty} \int_{[0,1]^n}\frac{|x|}{\sqrt{n}}=\frac{1}{\sqrt{3}},where $[0,1]^n=[0,1]\times \dots \times [0,1]$ is the unit cube in $\mathbb{R}^n$. 

Not sure if I'm allowed to put more than one question in each, but lets go: A coffee machine fills a cup with a volume of coffee standard distributed with an expected 2.1dl and a standard deviation of...

Suppose a bar has 6 different ingredients for a drink. How many different drinks can be made using these 6 ingeredient, if every drink on the menu contains at least three different ingredients?

Hi all! (:I am a student collecting some pressure readings from multiple bioreactors (105) that produce biogas. Each bioreactor has three technical replica in total, and the following conditions are a...

I have a few questions relating to combinatorics, they're all in the imgur link below. If you could help, it would be much appreciated!https://imgur.com/euLqf6m

https://imgur.com/a/ZvsZ7q6If someone can help me with the two proofs in the Imgur link, it would be very helpful. Thanks in advance!

𝑓(𝑥) = { 2𝑒 ^(−2𝑥+2)    𝑥 ≥ 1               0                      otherwisea) Compute the cumulative density function of X.b) Find an algebraic expression for the 100p^th percentile.c) Find the media...

𝑓(𝑥) = {$ 𝛼 / x^5$  𝑥 ≥ 𝛼               0                otherwise

I want to determine the probability of drawing specific cards from a deck using Hypergeometric Probability. In this case however, the cards will be drawn from multiple pools and the hand drawn will ha...

Assume you are sampling values at random from two normal distributions, Distribution A and Distribution B. Both distributions have the same standard deviation σ but slightly different means $μ_A$ and $μ_B$, where $μ_A>μ_B$. Let $\delta_\mu = μ_A-μ_B$.

Solve both parts of the attached question. 

please answer all 3 parts with the workings

Hope I can find someone who can solve these problems for me.

I am attaching a picture of the question. thanks 

The scores on a biology exam were normally distributed with a mean of $71$ and a standard deviation of $9$. A failing grade on the exam was anything $2$ or more standard deviations below the mean. Wha...

The scores on a biology exam were normally distributed with a mean of $71$ and a standard deviation of $9$. A failing grade on the exam was anything $2$ or more standard deviations below the mean. Wha...

A bag contains blue and red balls. Two balls are drawn randomly without replacement. The probability of selecting a blue and then a red ball is 0.3. The probability of selecting a blue ball in the fir...

Please help me with the attache problem. 

Please help me with the attached question.