The average hourly wage of workers at a fast food restaurantis $6.50/hr with a s

Question

The average hourly wage of workers at a fast food restaurantis $6.50/hr with a standard deviation of $0.45. Assume thatthe distribution is normally distributed. If a worker at thisfast food restaurant is selected at random, what is the probabilitythat - the worker earns more than $6.75 ? - the worker earns between $6.00 and $7.00 ? - How much must the worker earn to be considered in thetop 5% of wage earners for fast food restaurant employees? The average hourly wage of workers at a fast food restaurantis $6.50/hr with a standard deviation of $0.45. Assume thatthe distribution is normally distributed. If a worker at thisfast food restaurant is selected at random, what is the probabilitythat - the worker earns more than $6.75 ? - the worker earns between $6.00 and $7.00 ? - How much must the worker earn to be considered in thetop 5% of wage earners for fast food restaurant employees?

Explanation / Answer

Given =6.5, s=0.45 (a) P(X>6.75) = P((X-)/ >(6.75-6.5)/0.45) =P(Z>0.56) =0.2877 (check normal table) (b)P(6

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