Suppose the cost of gas plummets and the price of cars drastically drops, so tha
ID: 3060683 • Letter: S
Question
Suppose the cost of gas plummets and the price of cars drastically drops, so that every household triples the number of cars they own, so that now the values of X are 0, 3, 6, 9, 12, and 15 with the corresponding probabilities remaining the same. What happens to the standard deviation of the number of cars owned?
Question 4 options:
The standard deviation will not change
The standard deviation will increase by a factor of 9
The standard deviation will triple (be multiplied by 3)
The standard deviation will increase by 3
The standard deviation will not change
The standard deviation will increase by a factor of 9
The standard deviation will triple (be multiplied by 3)
The standard deviation will increase by 3
Explanation / Answer
as here new number of cars Y =3X
therefore SD(Y) =3*SD(X)
hence correct option is : The standard deviation will triple (be multiplied by 3)
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