Suppose that scores on an exam are normally distributed with mean 80 and standard deviation 5, and that scores are not rounded (i.e. can be any real number between 0 and 100). a) What is the probability that a student scores higher th

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Suppose that scores on an exam are normally distributed with mean 80 and standard deviation 5, and that scores are not rounded (i.e. can be any real number between 0 and 100).

a) What is the probability that a student scores higher than 85 on the exam?

Choice 1 of 5:0.16
Choice 2 of 5:0.21
Choice 3 of 5:0.56
Choice 4 of 5:0.68
Choice 5 of 5:0.84
 
b) What is the probability that a student scores between 70 and 90?
Choice 1 of 5:0.5
Choice 2 of 5:0.68
Choice 3 of 5:0.75
Choice 4 of 5:0.95
Choice 5 of 5:0.997
 
c) Assume that exam scores are independent and that 10 students take the exam. What is the probability that 4 or more students score 85 or higher on the exam?
Choice 1 of 5:0.02
Choice 2 of 5:0.05
Choice 3 of 5:0.06
Choice 4 of 5:0.12
Choice 5 of 5:0.68
 
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,