Draws are being made at random with replacement from a box. The number of draws

Question

Draws are being made at random with replacement from a box. The number of draws is getting larger and larger. Say whether each of the following statements is true or false. Converges means gets closer and closer:
A. The probability histogram for the some of the drawers (when put in standard units) converges to the normal curve.
B. The histogram for the numbers in the box (when put in standard units) converges to the normal curve.
C. The histogram for the numbers drawn (when put in standard units) converges to the normal curve.
D. The probability histogram for the product of the draws (when put in standard units) converges to the normal curve.
E.The histogram for the numbers drawn converges to the histogram for the numbers in the box.

Explanation / Answer

A) False, since the number of drawers does not make sense towards normal curve

B) True, since number of draws are larger and larger, i,e every larger sample tends to a symmetrical curve

C) True, same reason from part b

d) False,

E) True,

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