Name: No. Section: Sudie ct: Date Show that pach of the following is a prebability y if xE [ 1,2,3}€ mass function. P(X=x) 1. %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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ANSWER THE LEFT PICTURW PROVIDED. THE RIGHT PICTURE IS AN EXAMPLE OR FORMAT THAT MUST BE FOLLOWED TO ANSWER THE LEFT.
Name:
No.
Section:
Sudie ct:
Date
a probability
if x E [1.2,33€
Show that each of the following ir
mass function.
P(X=x) -x*
%3D
1.
Transcribed Image Text:Name: No. Section: Sudie ct: Date a probability if x E [1.2,33€ Show that each of the following ir mass function. P(X=x) -x* %3D 1.
Given,
P(X=x)= x²/91 for x= 1,2,3,4,5,6
Then by substitution,
P(X=1)= 1/91
P(X=2)= 4/91
P(X=3)=9/91
P(X=4)= 16/91
P(X=5)= 25/91
P(X=6)= 36/91
EP(X=x)= 1/91 + 4/91 + 9/91 + 16/91 + 25/91+
36/91
= 91/91
= 1
The sum of probabilities is 1 so the given
function is probability mass function.
Transcribed Image Text:Given, P(X=x)= x²/91 for x= 1,2,3,4,5,6 Then by substitution, P(X=1)= 1/91 P(X=2)= 4/91 P(X=3)=9/91 P(X=4)= 16/91 P(X=5)= 25/91 P(X=6)= 36/91 EP(X=x)= 1/91 + 4/91 + 9/91 + 16/91 + 25/91+ 36/91 = 91/91 = 1 The sum of probabilities is 1 so the given function is probability mass function.
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