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yrone is the manager of an independent gym that operates a embership scheme and runs a small number of weekly group exercise lasses for members. Using class attendance data, Tyrone constructs a iscrete probability distribution for the random variable X, the number f classes attended in a particular week per member. 012 3 4 p(z) 0.1 0.2 0.35 0.25 0.1 a) Confirm that this is a valid p.m.f. by showing how p(x) satisfies all the requirements for a valid p.m.f. ) Write down a table containing values of F(x), the cumulative distribution function (c.d.f.) of X, for r = 0, 1, 2, 3, 4 :) Using the c.d.f. find the probability that a gym member attends at least 2 classes per week

yrone is the manager of an independent gym that operates a embership scheme and runs a small number of weekly group exercise lasses for members. Using class attendance data, Tyrone constructs a iscrete probability distribution for the random variable X, the number f classes attended in a particular week per member. 012 3 4 p(z) 0.1 0.2 0.35 0.25 0.1 a) Confirm that this is a valid p.m.f. by showing how p(x) satisfies all the requirements for a valid p.m.f. ) Write down a table containing values of F(x), the cumulative distribution function (c.d.f.) of X, for r = 0, 1, 2, 3, 4 :) Using the c.d.f. find the probability that a gym member attends at least 2 classes per week

MATLAB: An Introduction with Applications
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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Tyrone is the manager of an independent gym that operates a membership scheme and runs a small number of weekly group exercise classes for members. Using class attendance data, Tyrone constructs a discrete probability distribution for the random variable X, the number of classes attended in a particular week per member. x 0 1 12 3 4 p(x) 0.1 0.2 0.35 0.25 0.1 (a) Confirm that this is a valid p.m.f. by showing how p(x) satisfies all the requirements for a valid p.m.f. (b) Write down a table containing values of F(x), the cumulative distribution function (c.d.f.) of X, for x = 0, 1, 2, 3, 4 (c) Using the c.d.f. find the probability that a gym member attends at least 2 classes per week
Transcribed Image Text:Tyrone is the manager of an independent gym that operates a membership scheme and runs a small number of weekly group exercise classes for members. Using class attendance data, Tyrone constructs a discrete probability distribution for the random variable X, the number of classes attended in a particular week per member. x 0 1 12 3 4 p(x) 0.1 0.2 0.35 0.25 0.1 (a) Confirm that this is a valid p.m.f. by showing how p(x) satisfies all the requirements for a valid p.m.f. (b) Write down a table containing values of F(x), the cumulative distribution function (c.d.f.) of X, for x = 0, 1, 2, 3, 4 (c) Using the c.d.f. find the probability that a gym member attends at least 2 classes per week
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