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A company pays its employees an average wage $30an hour with a standard deviation of$6. Assume the wages are approximately normally distributed. i.If a worker

A company pays its employees an average wage $30an hour with a standard deviation of$6. Assume the wages are approximately normally distributed.

i.If a worker is randomly chosen, what is the probability that he/she is paid $20 or less an hour? [2 Marks]

ii.What is the probability that in a random sample of 30 workers,the mean salary is more than $33 per hour? [3 Marks]

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