Purchase Solution

3. Let X be uniformly distributed on [0,1]. Find the probability that 6X^2 - 5X + 1 is greater than zero.

Not what you're looking for?

Ask Custom Question

The problems are from 400 level probability class but introductory course. Please specify the terms you use (if necessary) and explain each step of your solutions.

3. Let X be uniformly distributed on [0,1]. Find the probability that 6X^2 - 5X + 1 is greater than zero.

See the attached file.

Attachments
Purchase this Solution
Solution Summary

This solution is comprised of a detailed explanation to find the probability that 6X^2 - 5X + 1 is greater than zero.

Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Continuous Uniform Distributions

    Let X denote the arrival time of city bus at the fixed bus stop. Given X has uniform distribution over [11.57am,12.04 pm] That is We want to find, probability of , given X>12.01 Now . Therefore required probability is 1/3. 3.

  • second-price sealed bid auction-reserve price, true valuatio

    =(v1-b2)*P(win) =(v1-b2)*P(b1>=b2) The probability of win is nothing but probability that b1 is greater than b2. Now in order to maximize the expected gains, it can be maximized by maximizing the probability of winning.

  • Uniform distribution

    Suppose X is normal with mean u and variance sigma^2. P{u<= X <= u + 1.5 sigma} See attachment please! 1. are independent and uniformly distributed on [0,1] a. standardize b. Give mgf of THE STANDARDIZED (a) sum. (a) Solution.

  • Uniform Distributions

    What is the probability that all of the roots of the equation Ax^2+Bx+C=0 are real? 2) If X is uniformly distributed over (0,1) and Y is exponentially distributed with parameter 1, find the distribution of (a) Z=X+Y and (b) Z=X/Y.

  • Probability density function

    If X is uniformly distributed over (0,1), find the density function of Y = ex.

  • Density Functions: Time takes students to finish aptitude test

    Let f(x) be the uniform density on [0,1] and let g(x) be the density on [0,1] given by g(x)=ce^x, where c is the normalizing constant. Let F, and G be the corresponding CDFs. Find the density function corresponding to the new CDF H(x) = F(x)G(x). 1.

  • Acceptance-rejection sampling on unit disc

    Whenever X^2 + Y^2 > 1 the sample is rejected, otherwise it is accepted. Prove that Z is uniformly distributed on [0, 1]. Question: Suppose that the random variables X and Y are independent and uniform on the interval [-1, 1].

  • Discussing the Distribution Theory

    456712 Discussing the Distribution Theory 1. Let the random variable X have the pdf f(x) = 2/sqrt(2(pi)) e^(-x^2/(2) ), 0<xzero elsewhere. Find the mean and the variance of X.

  • Mathematical Statistics: Probability for Length of a Stick

    Note that x can be to the left of y, or x can be to the right of y. There are 3 mutually exclusive cases whereby a stick of length ½ yard or greater is created Case 1 : Both cuts are to the left of the ½-way point on the 1-yard stick.

View More Related Solutions