What Have I Learned So Far?Solve each problem on a separate sheet of paper. Show all necessary solutions.Let X denotes the percentage of time out of a 40-hour workweek that a call center agent isdirectly serving a client by answering phone calls. Suppose that X has a probability densityfunction defined by f(x)= 3x2 for 0 < xS1. Find the mean and variance of X. Interpret the'1.results.od ed bluovw3Find the mean, variance, and standard deviation of the density functiongiven by f(x)=-for 0 What HaveI Learned So Far?paper.Answer the following questions on a separate sheet of1. Determine if each of the following situations illustrates a continuous random variable or nota. weight of a randomly selected grade 11 studentb. number of Filipino people who will vote in the next national electionfastest speed of a randomly selected car racer in a car racing competitiond. a farmer's record of the number of mongo seeds in a sackC.2. Let X be a continuous variable with probability density function f(x) = cx defined for 0sxS1,where c is constant. Find c.3.Let X be a continuous random variable whose probability density function is defined by3.f(x) = -x(2-x) for 0

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Solve each problem on a separate sheet of paper. Show all necessary solut Let X denotes the percentage of time out of a 40-hour workweek that a call center agent is directly serving a client by answering phone calls. Suppose that X has a probability density function defined by f(x)= 3x2 for 0 < x<1. Find the mean and variance of X. Interpret the 1. results. ad ed bluov 3 intionofthedensityfunstion given by f(x)=-x(2-x)

Solve each problem on a separate sheet of paper. Show all necessary solut Let X denotes the percentage of time out of a 40-hour workweek that a call center agent is directly serving a client by answering phone calls. Suppose that X has a probability density function defined by f(x)= 3x2 for 0 < x<1. Find the mean and variance of X. Interpret the 1. results. ad ed bluov 3 intionofthedensityfunstion given by f(x)=-x(2-x)

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

What Have I Learned So Far?
Solve each problem on a separate sheet of paper. Show all necessary solutions.
Let X denotes the percentage of time out of a 40-hour workweek that a call center agent is
directly serving a client by answering phone calls. Suppose that X has a probability density
function defined by f(x)= 3x2 for 0 < xS1. Find the mean and variance of X. Interpret the
'1.
results.
od ed bluovw
3
Find the mean, variance, and standard deviation of the density functiongiven by f(x)=-
for 0<x<2 of random variable X.
x(2-x)
2.

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