Right-skewed distribution with mean

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From past experience, a server at a restaurant knows that her tips follow a right-skewed distribution with mean $6 and standard deviation $4.

What is the probability that the servers next 30 tips have a mean between $6 and $7? ( Assume that these 30 customers represent a simple random sample).

If the server has 40 customers in one shift, what is the probability that her total tips are less than $250? ( Assume that these 40 customers represent a simple random sample).

Reference no: EM13102407

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