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Four digits are selected at random from 10 digits, 0 to 9, in a lottery.

It is normally expected that each digit has a chance of $\frac{1}{10}$ to be selected.

A dataset is said to be normally distributed if the frequency of the variable is low initially, peaks gradually, and then decreases progressively.

In other words, if the data has a bell-shaped histogram (symmetric), then it follows the normal distribution.

The term 鈥渘ormal鈥� here refers to the most common belief about the occurrence of the digits.

This does not imply that the selection of digits is normally distributed as the word 鈥渘ormal鈥� in a normal distribution is different from the literal meaning of the word normal, which is usual/common.

Since each of the digits has the same 0.1 probability of being selected, the histogram of this data would be even over the range of numbers 0 to 9. This means that the selected digits will follow a uniform distribution.

As a normal distribution has a bell-shaped curve, the distribution of the selected digits will follow a uniform distribution and not a normal distribution.

Thus, it is not correct to state that the distribution of digits is a normal distribution.