Let Xi be the allowance the boy gets in the ith week. Assuming a year has 52 weeks, what are the expected vaule, variance, and standard deviation of the total amount of allowance that the boy can get in a year X1+X2+X3...X52?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Let Xi be the allowance the boy gets in the ith week. Assuming a year has 52 weeks, what are the expected vaule, variance, and standard deviation of the total amount of allowance that the boy can get in a year X1+X2+X3...X52?
![A boy has his weekly allowance determined every Sunday by drawing one paper bill randomly from an urn
containing 5 bills in total: four $1 bills, and one $10 bill.
$1
$1
$1
$1
$10
His parents refill the urn every week, so the content of the urn stays the same every week.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe35d795b-3b3a-45a5-a595-ba94ec33b836%2F84571329-c706-4817-9d90-cc13ed014fa2%2Fqxkberj_processed.jpeg&w=3840&q=75)
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