Families with an income range of $35,000 to $55,000 are likely to buy the latest Star Quest DVD.What is the variance for this uniform probability distribution of family income?

A) $675,000,000
B) $200,000,000
C) $33,333,333
D) $1666.67

Question

Ahsan Abbas · Accepted Answer

Final Answer : C, Explanation :   The variance (  σ 2  \sigma^2  σ 2  ) for a uniform distribution is calculated using the formula   σ 2 = ( b − a ) 2 12 \sigma^2 = \frac{(b - a)^2}{12} σ 2 = 12 ( b − a ) 2 ​  , where   b b b   is the maximum value and   a a a   is the minimum value. Here,   b = 55000 b = 55000 b = 55000   and   a = 35000 a = 35000 a = 35000  , so   σ 2 = ( 55000 − 35000 ) 2 12 = 2000 0 2 12 = 400 , 000 , 000 12 = 33 , 333 , 333 \sigma^2 = \frac{(55000 - 35000)^2}{12} = \frac{20000^2}{12} = \frac{400,000,000}{12} = 33,333,333 σ 2 = 12 ( 55000 − 35000 ) 2 ​ = 12 2000 0 2 ​ = 12 400 , 000 , 000 ​ = 33 , 333 , 333  .

Families with an income range of $35,000 to $55,000 are likely to buy the latest Star Quest DVD.What is the variance for this uniform probability distribution of family income?

A) $675,000,000
B) $200,000,000
C) $33,333,333
D) $1666.67

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Families with an income range of $35,000 to $55,000 are likely to buy the latest Star Quest DVD.What is the variance for this uniform probability distribution of family income?A) $675,000,000B) $200,000,000C) $33,333,333D) $1666.67

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Learning Objectives

Learning Objectives

Related questions

Families with an income range of $35,000 to $55,000 are likely to buy the latest Star Quest DVD.What is the variance for this uniform probability distribution of family income?

A) $675,000,000
B) $200,000,000
C) $33,333,333
D) $1666.67