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Could you please solve these questions for me?
1. The results for the final exam were normally distributed with a standard deviation of 10 and a mean of 65%.
a. If an A grade is 80 and above what percent of students received an A?
b. What is the probability of a randomly selected student failing (a fail grade is anything below 50).
c. If there are 45 students how many would fail?
d. A student tells you they scored in the top 10% of the class. What is the minimum grade they achieved?
e. The instructor would like to reduce the percentage of failures to 5%. He proposed to do this by eliminating some of the easier and some of the more difficult questions. He expects the same average but a lower standard deviation. What standard deviation would he need to reach his objective?
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