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Grades on an english test can be modeled as a normal distribution with mean 80 and...

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Basic Math

Grades on an english test can be modeled as a normaldistribution with mean 80 and standard deviation 5.

A) if the english department is awarding students with testgrades in the top 5%, find the lowest grade a student needs toreceive the award.

B) A student is randomly selected from the class so thedistribution of this student's test grade is N(80,5), what is theprobability that this student scored above a 90?

C) What is the probability that the student in part b scoredexactly a 90?

D) If 5 students are randomly selected from the class. what isthe probability that exactly 3 of them scored above a 90?

E) If 20 students are randomly selected from the class what isthe probability that at least 12 of them scored above an 80?

Answer & Explanation Solved by verified expert
3.7 Ratings (414 Votes)
abcSince normal distribution is continuous distribution so theprobability exactly at one    See Answer
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