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  3. 2. the median of an income distribution is $30,000

2. The median of an income distribution is $30,000. The mean income is $35,000 and the...

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Statistics

2. The median of an income distribution is $30,000. The meanincome is $35,000 and the standard deviation is $25,000.For each part, if possible compute the quantity,if not possible give your reason.

a) Is the distribution symmetric? Why or why not?

b) The probability that a randomly selected income being lessthan $35,000

c) The probability that a randomly selected income being lessthan $30,000

d) The probability that the average of 4 randomly selectedincomes being between $30,000 and $40,000

e) The probability that the average of 100 randomly selectedincomes being between $30,000 and $40,000.

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