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In: Statistics and Probability

7. The distribution of annual profit at the chain of Shoe Palace stores was approximately normal...

7. The distribution of annual profit at the chain of Shoe Palace stores was approximately normal with a mean of $457,300 and a standard deviation of $58,000. The CEO of the company would like to reassess the efficiency of all managers of the stores with the lowest 15% of profits. What is the maximum annual profit at the stores that fit in the lowest 15%?

8. If the population of monthly internet bills for the Ida neighborhood has a mean of $82.00 and a standard deviation of $7.50, what is the probability of selecting a household at random whose monthly bill is $64.00 or less?

9. The administration is planning on giving assessments to the top 10% of seniors. If the mean of the senior class GPAs is 3.38 with a standard deviation of 0.15, what is the indicated z-score?

10. Indicate whether the following statistics can be examples of binomial probability distributions:

a.) results of spinning a 4-color spinner

b.) results of flipping a quarter

c.) results of drawing a red or black suit from a deck of cards

d.) results of hitting red light or green light at the intersection of Main and Rt. 340

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