There is a very popular lottery in which a ticket is called a scratcher. In this lottery, 41% of the scratchers are winning ones. Suppose that we will take a random sample of 7 scratchers. Let p represent the proportion of winning scratchers from the sample. Consider the sampling distribution of the sample proportion p. Complete the following. Carry your intermediate computations to four or more decimal places. Write your answers with two decimal places, rounding if needed.

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A:

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