Choose two numbers X and Y uniformly from the interval [0, 1].a) Find the probability that max{X, Y} < 1/2.b) Find the probability that X2 + Y2<1.c) Find the probability that XY < 1/2. In preparing a report on the economy, we need to estimate the percentage of businesses that plan to hire additional employees inthe next 60 days.a) How many randomly selected employers must we contact in order to create an estimate in which we are 95% confident with amargin of error of 9%?b) Suppose we want to reduce the margin of error to 4%. What sample size will suffice?c) Why might it not be worth the effort to try to get an interval with a margin of error of 1%?a) A sample size of(Round up to the nearest whole number.)is needed.

Here, solutions for 1 Question. Given data X ,Y are uniformly distributed in interval [0,1]

Answered: Choose two numbers X and Y uniformly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Choose two numbers X and Y uniformly from the interval [0, 1]. ) Find the probability that max{X, Y} < 1/2. -) Find the probability that X2 + Y² < 1. ) Find the probability that XY < 1/2.