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

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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

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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