Question:
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Step: 1
a)As X is the number of people in house in the house hold when we pick a household
Pmf(X)=={(100/1000=0.1,X=1),(200/1000=0.2,x=2), (300/1000=0.3,X=3),(200/1000=0.4,X=4),
(100/1000=0.1,X=5),(100/100=0.1,X=6):}
E[X]=1*0.1+2*0.2+3*0.3+4*0.2+5*0.1+6*0.1=3.3
Explanation
Therefore, the explanation refer to this solution
Step: 2
b)Y->Number of people in the household when we pick a person in the town
f(x)={(100/3300=0.0303,X=1),(400/3300=0.1212,X=2), (900/3300=0.2727,X=3),(800/3300=0.2424,X=4),
(500/3300=0.1515,X=5),(600/3300=0.1818,X=6):}
Explanation
Therefore, the explanation refer to this solution.
E[Y]=0.0303*1+0.1212*2+0.2727*3+0.2424*4+0.1515*5+0.1818*
Final Answer
Therefore, the answer are represented above.
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