Question: If our first exam scores were found to be normally distributed with a mean of 77.84 and a standard deviation of 10.63,

1. . What is the probability of getting a grade higher than 72?
2. . What percentage of students scored between 79 and 85?
3. . What is the mode?
4. . Twelve percent of the class who posted the lowest scores were lower than what grade?
5. . If I graded on a curve (give A’s to the top 25% of the class regardless of score), are you better off with a grade of an 84 on this exam or a grade of 76 on a different exam where the mean is 71.32 and the standard deviation is 6.52? Show your results statistically and briefly explain.

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