shadsiei

2020-11-10

Give a real-life example of data which could
have the following probability distributions.
Explain your answers.
a) normal distribution
b) uniform distribution
c) exponential distribution
a) bimodal distribution
Solve this early I upvote
b ,c and d only
Explain these above three b, c and d

2k1enyvp

Skilled2020-11-11Added 94 answers

Step 1. Uniform Distribution Uniform distribution: A continuous random variable X is said to be uniform distribution then the pdf is given by $f\left(x\right)=\{\begin{array}{ll}\frac{1}{b-a};& a<x<b=0\\ 0& otherwise\end{array}$ Where a and $b(a<b)$ are two parametrs of uniform distribution. This is also known as Rectangular distribution. Mean of uniform distribution is $(b+a)/2$ and variance is $(b-a{)}^{2/12}$ Example: If you roll a die, you have the chance of getting 1, 2, 3, 4, 5, or 6 and if you rolled it for 3000 times roughly there has a chance of 500 of each result. The results would form a Uniform distribution from 1 to 6. Step 2 Exponential Distribution Exponential distribution: A continuous random variable X is said to be exponential distribution then the pdf is given by $f\left(x\right)=\theta {e}^{\theta x},x>0,\theta >0$ Where theta is parameter of exponential distribution. This is also known as Lack of memory distribution. Mean is $\frac{1}{\theta}$ and variance is $1/2$Example: The time it taken to complete graduation of a student with mean 5.2 years then what is the probability it takes more than 4.4 to graduate. The probability density function of exponential distribution is $f\left(x\right)=\theta {e}^{\theta x},x>0,\theta >0$

$p(x\ge 4.4)={e}^{-4.4/5.2}=0.4290$ Conclusion : probability it takes more than 4.4 to graduate is 0.4290 Step 3 Bimodal Distributions Bimodal Distribution: In this distribution, ‘Bi’ means two, “Modal” means mode.Bimodal means two modes. Mode is the most frequently repeated value in a set. Example: we take the bimodal age distribution among patients as a graphical representation here the horizontal axis is age of patients and vertical axis is prevalence of disease in the patients.In that 1-st part is 15-34 and second part is 35 & above. Here we have two modes the first repeated set is patients between 15-34 year old and second repeated set is patients between 35 & above.Lets say the patients with 5 year old we found in a population say 5 but we observe 1000 patients and then decrease and again increase here we observe that 15-34 age patients and 35 & above age patients are 1000.This is called bimodal.

The product of the ages, in years, of three (3) teenagers os 4590. None of the have the sane age. What are the ages of the teenagers???

Use the row of numbers shown below to generate 12 random numbers between 01 and 99

78038 18022 84755 23146 12720 70910 49732 79606

Starting at the beginning of the row, what are the first 12 numbers between 01 and 99 in the sample?How many different 10 letter words (real or imaginary) can be formed from the following letters

H,T,G,B,X,X,T,L,N,J.Is every straight line the graph of a function?

For the 1s orbital of the Hydrogen atom, the radial wave function is given as: $R(r)=\frac{1}{\sqrt{\pi}}(\frac{1}{{a}_{O}}{)}^{\frac{3}{2}}{e}^{\frac{-r}{{a}_{O}}}$ (Where ${a}_{O}=0.529$ ∘A)

The ratio of radial probability density of finding an electron at $r={a}_{O}$ to the radial probability density of finding an electron at the nucleus is given as ($x.{e}^{-y}$). Calculate the value of (x+y).Find the sets $A$ and $B$ if $\frac{A}{B}=\left(1,5,7,8\right),\frac{B}{A}=\left(2,10\right)$ and $A\cap B=\left(3,6,9\right)$. Are they unique?

What are the characteristics of a good hypothesis?

If x is 60% of y, find $\frac{x}{y-x}$.

A)$\frac{1}{2}$

B)$\frac{3}{2}$

C)$\frac{7}{2}$

D)$\frac{5}{2}$The numbers of significant figures in $9.1\times {10}^{-31}kg$ are:

A)Two

B)Three

C)Ten

D)Thirty oneWhat is positive acceleration?

Is power scalar or vector?

What is the five-step process for hypothesis testing?

How to calculate Type 1 error and Type 2 error probabilities?

How long will it take to drive 450 km if you are driving at a speed of 50 km per hour?

1) 9 Hours

2) 3.5 Hours

3) 6 Hours

4) 12.5 HoursWhat is the square root of 106?