Question: Please send me answer in type form strictly prohibited handwritten solution don't use chatgpt or copied content show your own work with step by step

Please send me answer in type form strictly prohibited handwritten solution don't use chatgpt or copied content show your own work with step by step explanation specially mentioned formula and concept.

When you toss a fair die, the mean outcome is =3.5 and the standard deviation is approximately =1.708. Suppose we toss a die n=54 times and record the sample mean x of all the outcomes. What is the approximate probability that the sample mean x will be greater than 3.703 ?

A. The probability that x will be greater than 3.703 is approximately 0.1442.

B. The probability that x will be greater than 3.703 is approximately 0.1881.

C. The probability that x will be greater than 3.703 is approximately 0.3082.

D. The probability that xx will be greater than 3.703 is approximately 0.0381.

E. The probability that x will be greater than 3.703 is approximately 0.0121.

F. The probability that x will be greater than 3.703 is approximately 0.2302.

G. The probability that x will be greater than 3.703 is approximately 0.1221

H. The probability that x will be greater than 3.703 is approximately 0.1921.

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