Multiplying Normal Distributions

Directions: Using the digits 0 to 9, at most two times each, place a digit in each box to make a valid transformation from the original normal distribution.

Hint

Think about how multiplying by a number changes distances from the center without changing the overall shape.

Answer

There are many answers. One is an original mean of 0 and standard deviation of 1, then a multiplier of 2 resulting in a new mean of 0 and new standard deviation of 2.

Source: Owen Kaplinsky

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