Suppose that the random variable X follows a beta distribution with alpha=1 and beta=3, Beta(1,3) Find p(x>1/3)In R simulate n = 1000 from Beta(1,3) p(x>1/3) and verify the probability is close to the theoretical.

Since you have asked multiple question, we will solve the first question for you. If you want any…

Answered: Suppose that the random variable X…

Math

Statistics

Suppose that the random variable X follows a beta distribution with alpha=1 and beta=3, Beta(1,3) Find p(x>1/3)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Consider a random sample of size n=2 taken from an exponential distribution with parameter lambda.…

A: INTRODUCTION: EXPONENTIAL DISTRIBUTION Exponential Distribution with parameter λ is given by…

Q: We have a random variable X1 defined on Population 1. X1 has a mean value of 52 with a population…

A: Solution: Given information: n1=625 sample size of population 1n2= 625 sample size of population…

Q: S Suppose that the time (in hours) required to repair a machine is an exponentially distributed…

A: The distribution of the repairing time for the machine is specified to be distributed exponentially…

Q: Suppose a simple random sample of size n =1000is obtained from a population is obtained from a…

A: To calculate the probability of obtaining x = 210 or fewer individuals with the specified…

Q: Suppose that the service life in hours of a semicon-ductor is a random variable having a Weibull…

A: From provided information α=0.025 β=0.500 A random variable X is said to have a Weibull distribution…

Q: Suppose that the time (in hours) required to repair a machine is an exponentially distributed random…

A: The probability density function of exponential distribution is given by

Q: Suppose that X1,..., X, form a random sample from an exponential-distribu- ton for which the value…

A: Mle is that value of parameter which maximize the likelihood.

Q: If X and Y are independent random variables following the same discrete distribution. How to prove…

A: To prove or disprove the equation when X and Y are independent random variables following the same…

Q: Assume that the random variable X is normally distributed, with mean μ=80 and σ=8. Compute…

A: Given that, Mean = 80 Standard deviation = 8

Q: Medical researchers developed a test that determines whether a person has a particular disease. The…

A: The following details are given on the probabilities associated with a disease test:The probability…

Q: Give as much information as you can about the P-value of the single-factor ANOVA F test in each of…

A: The sample sizes, number of groups and F test statistic values are given to obtain the P-values.

Q: Suppose random variable X has a Poisson distribution with t = 2 and λ= 4. What is E(X)?

Q: You have two random variables M and N where the joint pdf is given by f_M,N(m,n) = b if m + n >=2,…

A: The region in which f=b is shown in figure: f=0 for other values of (m,n)

Q: For an initial investment of 100, an investment yields returns of Xi at the end of period i for i =…

A: Given : μ= Population Mean =60σ2=Population Variance=25 Initial investment =100

Q: Let X and Y be jointly Gaussian random variables with sigma X = 11, sigma Y = 5and E [XIY] = 11/20…

A: Given that and be jointly Gaussian random variables, with , and

Q: Use the result of Exercise 45 to show that, if n independent random variables Xi have normal…

A: The mean is calculated as follows:

Q: Suppose that the time (in hours) required to repair a machine is an exponentially distributed random…

Q: Let X be a strictly positive random variable. Determine which of the following quantitiesare…

A: Step 1:Step 2:Step 3:

Q: Suppose the random variable, X, follows a geometric distribution with parameter 0 (0 < 0 <1). Let…

A: X~Geom(p)Note: According to the Bartleby guidelines expert solve only one question and maximum three…

Q: Without using a moment generating function; Prove that the variance of a beta-distributed random…

A: Let X be a continuous random variable that follows a Beta distribution with parameters α and β.The…

Question

Suppose that the random variable X follows a beta distribution with alpha=1 and beta=3, Beta(1,3)
Find p(x>1/3)
In R simulate n = 1000 from Beta(1,3) p(x>1/3) and verify the probability is close to the theoretical.

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

a b and c please thank you!
With reference to Definition 4, show that μ0 = 1and that μ1 = 0 for any random variable for whichE(X) exists.
You have two random variables M and N where the joint pdf is given by f_M,N(m,n) = 1/2 if m + n >=2, m <=2 and n <=2 and 0 o/w. What is the cdf?
Suppose that the time. in days, required to repair a heat pump is a random variable X having a gamma distribution with parameters k = 8 and A = 2. What is the probability that on the next service call (a) at most 3 day will be required to repair the heat pump? (b) at least 2 days will be required to repair the heat pump? %3D %3D
Let X1, X2, X3, ..., X, be a random sample from a distribution with known variance Var(X,) = o², and unknown mean EX, = 0. Find a (1 – a) confidence interval for 0. Assume that n is large.
If the number X of particles emitted during a 1-hour period from a radioactive source has a poisson distribution with parameter equal to 4 and that the probability that any emitted is recorded is p=0.9 find the probability distribution of the number Y of the particles recorded in a 1-hour and hence the probability that no particle is recorded
Suppose that a medical test has a 85% chance of detecting a disease if the person has it (P(PT|D)=0.85) and a 90% chance of correctly indicating that the disease is absent if the person really does not have the disease (P(NT|Dc=0.90). Suppose that 95% of the population does not have the disease P(Dc)=0.95 What is the probability that a randomly chosen person will test negative P(NT)?
Consider using the Poisson random variable X to model the number of vehicles visiting a gas station per hour. Assume that the (population average) number of vehicles visiting a gas station per hour is 6, that is, X~Poisson(6). (1) Find P(X > 2). (2) Find the probability that there is no vehicle visiting the gas station within 20 minitues. (hint: using the fact that "the number of vehicles visiting a gas station per hour is 6", consider a different Poisson random variable Y which models the number of vehicles per 20-mininute. Finally, find P(Y > 0)).
Assume that X and Y are random variables with the following parameters: 4 аnd o'y 13, 12, о Hy What is the variance of Z if Z = 2X - Y + 1 and ory =0.8
X is distributed as a Normal random variable with mean of 100 and a standard deviation of 10 (i.e X~N(100,10). You take a random sample of 20 items from X and you calculate the average of this sample. What is the expected value of this sample average? (i.e. what value would you expect to get for the average of this small sample?