What\'s wrong with the following statement? \"Because the digits 0, 1, 2, . . .

Question

What's wrong with the following statement? "Because the digits 0, 1, 2, . . . , 9 are the normal results from lottery drawings, such randomly selected numbers have a normal distribution." Choose the correct answer below. A. It is not the randomly selected digits that have a normal distribution but rather the chances of winning the lottery. B. Since the probability of each digit being selected is equal, lottery digits have a uniform distribution, not a normal distribution. C. The lottery digits have a normal distribution only if the digits are drawn with replacement, which is not specified. D. The lottery digits have a normal distribution only if the digits are drawn without replacement, which is not specified.

Explanation / Answer

Answer

Here the statement is given as,

Because the digits 0, 1, 2, . . . , 9 are the normal results from lottery drawings, such randomly selected numbers have a normal distribution.

But as we know there is no connection of "normal" drawings with normal distribution . Normal distribution is an entirely different distribution which is continuous, bell shaped, symmetric and with the support of real values. ( not only natural numbers). Beside that as we know the drawings in lottery is taken withequal probability of each (with or without replacement) so we can say the digits follow a uniform distribution instead of normal distribution.

So,'the right option is,

B. Since the probability of each digit being selected is equal, lottery digits have a uniform distribution, not a normal distribution.

Hence the answer...

Thank you...........

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