A real estate agent collects data on the size of the rooms in the house that she

Question

A real estate agent collects data on the size of the rooms in the house that she sells. She finds that kitchens have an average area of 300 square feet & a standard deviation of 45 square feet. Bedrooms have a mean of 200 sq. ft. & a standard deviation of 65 sq. ft.
The total area of a THREE bedroom house has an average of 2000 sq. ft & a standard deviation of 225 sq. ft. What is the average & standard deviation of the area for living after the bedrooms & the kitchen are excluded? A real estate agent collects data on the size of the rooms in the house that she sells. She finds that kitchens have an average area of 300 square feet & a standard deviation of 45 square feet. Bedrooms have a mean of 200 sq. ft. & a standard deviation of 65 sq. ft.
The total area of a THREE bedroom house has an average of 2000 sq. ft & a standard deviation of 225 sq. ft. What is the average & standard deviation of the area for living after the bedrooms & the kitchen are excluded?
The total area of a THREE bedroom house has an average of 2000 sq. ft & a standard deviation of 225 sq. ft. What is the average & standard deviation of the area for living after the bedrooms & the kitchen are excluded?

Explanation / Answer

Sol:consider B= bedrooms,H=house,K=Kitchen,L=living room
        E(H)=2000
       E(3B)=600
         E(K)=300
    E(L)=E(H)-E(3B)-E(K)
          =2000-300-600
   E(L) =1,100 sqft

SD(H)2=SD(3B)2+SD(k)2+SD(L)2
2252=3(65)2+(45)2+SD(L)2
35925=SD(L)2
   SD(L)=Sqrt(35925)
    SD(L)=189.54 sqft

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