1. Let a chip be taken at random from a bowl that contains six white chips, three red chips, andone blue chip. Let the random variable X = 1 if the outcome is a white chip, let X = 5 if theoutcome is a red chip, and let X = 10 if the outcome is a blue chip.a) Find the pmf of X.b) Graph the pmf as a line graph.

Answered: a) Find the pmf of X. b) Graph the pmf…

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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Question

1. Let a chip be taken at random from a bowl that contains six white chips, three red chips, and
one blue chip. Let the random variable X = 1 if the outcome is a white chip, let X = 5 if the
outcome is a red chip, and let X = 10 if the outcome is a blue chip.
a) Find the pmf of X.
b) Graph the pmf as a line graph.

Expert Solution

Step 1: We consider first the given data then we find out the each probability for pmf

Let a chip be taken at random from a bowl that contains

six white chips,three red chips, and one blue chip

Let the random variable $X space equals space 1$ if the outcome is a white chip,

Let $space X space equals space 5 space$ if the outcome is a red chip,

Let $space X space equals space 10 space$ if the outcome is a blue chip.

$T o t a l space n u m b e r space o f space c h i p s equals n u m b e r space o f space w h i t e space c h i p plus n u m b e r space o f space r e d space c h i p plus n u m b e r space o f space b l u e space c h i p T o t a l space n u m b e r space o f space c h i p s equals bold 6 bold plus bold 3 bold plus bold 1 T o t a l space n u m b e r space o f space c h i p s equals bold 10$

Hence,

$p r o b a b l i t y space o f space d r a w i n g space o r space s e l e c t i n g space space w h i t e space c h i p s equals 6 over 10 equals 0.6 p r o b a b l i t y space o f space d r a w i n g space o r space s e l e c t i n g space space r e d space c h i p s space equals 3 over 10 equals 0.3 p r o b a b l i t y space o f space d r a w i n g space o r space s e l e c t i n g space space b l u e space c h i p space equals 1 over 10 space equals 0.1$

the pmf of X is,