Question

# 3. Sketch the graphs of the beta distribution having (to make it readable, please sketch the...

3. Sketch the graphs of the beta distribution having (to make it readable, please sketch the graphs separately but not to a combined figure)

(a) α = 1 and β = 1,

(b) α = 1 and β = 2,

(c) α = 2 and β = 2,

(d) α = 1 and β = 0.5,

(e) α = 0.5 and β = 0.5,

(f) α = 2 and β = 5.

The distribution plot of the beta distribution is drawn using MINITAB and the results are given below:

a). Alpha = 1 and Beta = 1.

b). Alpha = 1 and Beta = 2.

c). Alpha = 2 and Beta =2.

d). Alpha = 1 and Beta =0.5.

e). Alpha = 0.5 and Beta =0.5.

f). Alpha = 2 and Beta =5.

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### Below are the graphs of a standard Normal distribution and a t-distribution with 3 degrees of...

Below are the graphs of a standard Normal distribution and a t-distribution with 3 degrees of freedom 1. (a) Indicated which graph is which and explain how you know. Dotted graph- standord Normet Solid graph +distmbuton with d3 4 3 -2 1 2 4 (b) On the same figure sketch a graph of a t-distribution with 1 degree of freedom.

• ### Please make you work clear and readable. 9-25 Find the inverse Laplace transforms of the following...

Please make you work clear and readable. 9-25 Find the inverse Laplace transforms of the following functions: 9000 (a) Fi(8)= a (s+10° +30 5(s+10) (b) F(s) = (5+10)2 +30 (C) F (S) = (5+10)(s + 40) (d) F2() = s(s+100) (s+1000) (s+1)(8 +10)

• ### please, be explicit and use graphs 3. List all periodic points for each of the following...

please, be explicit and use graphs 3. List all periodic points for each of the following maps; use the graph of f(x) cobweb for the typical trajectories). a) f(x)/2+1; b) f(x)-+ 2 c) f(x)-1/z; d) f(z)- e) f(x) (+)/2. to sketch the phase portrait (draw a 3. List all periodic points for each of the following maps; use the graph of f(x) cobweb for the typical trajectories). a) f(x)/2+1; b) f(x)-+ 2 c) f(x)-1/z; d) f(z)- e) f(x) (+)/2. to...

• ### Having troubles with question 2. Please help 2. If X has a Gamma distribution with parameters...

Having troubles with question 2. Please help 2. If X has a Gamma distribution with parameters a and B, then its mgf is given by (a) Obtain expressions for the moment-genérating functions of an exponential random variable and of a chi-square random variable by recognizing that these are special cases of a Gamma distribution and using the mgf given above. (b) Suppose that X1 is a Gamma variable with parameters α1 and β, X2 is a Gamma variable with parameters...

please show the steps and please make sure the solution readable and clear. please be careful about this. best regards. A combinational circuit with four inputs (A,B,C,D) and one output (Z) is designed as follows using an 8:1 multiplexer. Inputs A, B, C are connected to the select lines S2,S1,S, respectively. Multiplexer has the following values connected to the data inputs: 10.14 =D; 1, is = 0; 12,1 = 1; h 13,1, =D For the circuit given above a) Fill...

• ### i need the answer to 6-c 5. A professor has a large class. The proportion of students who miss an assignment is a beta distribution with parameters with α and β 2. (a) Determine the probability th...

i need the answer to 6-c 5. A professor has a large class. The proportion of students who miss an assignment is a beta distribution with parameters with α and β 2. (a) Determine the probability that at least 70% of the students will miss an assignment. 6. Using the distribution given in problem 5 (b) What is the expected proportion of missed assignments? (c) What is the variance of this distribution? 5. A professor has a large class. The...

• ### (a) Using a calculator or computer, sketch graphs of the density function of the normal distribut...

(a) Using a calculator or computer, sketch graphs of the density function of the normal distribution p(z)--1-e-(7-a)2 / (20,2 (i) For fixed μ (say, μ-5) and varying σ (say, 1,2,3). σ (ii) For varying μ (say, μ 4,5,6) and fixed σ 1) (b) Explain how the graphs confirm that (say, σ is the mean of the distribution and that σ IS a measure of how closely the data is clustered around the mean. (a) Using a calculator or computer, sketch...

• ### Exercise: Let Yİ,Y2, ,, be a random sample from a Gamma distribution with parameters and β. Assum...

Exercise: Let Yİ,Y2, ,, be a random sample from a Gamma distribution with parameters and β. Assume α > 0 is known. a. Find the Maximum Likelihood Estimator for β. b. Show that the MLE is consistent for β. c. Find a sufficient statistic for β. d. Find a minimum variance unbiased estimator of β. e. Find a uniformly most powerful test for HO : β-2 vs. HA : β > 2. (Assume P(Type!Error)- 0.05, n 10 and a -...

• ### 3. Let Xi, , Xn be a random sample from a Poisson distribution with p.m.f Assume...

3. Let Xi, , Xn be a random sample from a Poisson distribution with p.m.f Assume the prior distribution of Of λ is is an exponential with mean 1, i.e. the prior pdi g(A) e-λ, λ > 0 Note that the exponential distribution is a special gamma distribution; and a general gamma distribution with parameters α > 0 and β > 0 has the pd.f. h(A; α, β)-16(. otherwise Also the mean of a gamma random variable with the pd.f.h(Χα,...

• ### Can someone please explain this problem in detail. 6. If you look at some of graphs...

Can someone please explain this problem in detail. 6. If you look at some of graphs of the gamma distribution for various values of the parame- ters (α, β) (for example the ones at http://upload. wikimedia.org/wikipedia/commons/e/e6/ Gamma_distribution pdf.svg ), you'll see that the graphs (mostly) tend to look "single-peaked" They start small, increase until they reach a maximum, then decrease thereafter. Show that as long as α > l this is indeed what happens, where is the peak located, in...