Suppose that the time it takes a student to complete an exam is a random variable that has normal distribution with mean 75 minutes and standard deviation 10 minutes. a)Find the probability that a randomly selected student will complete the exam in more than 80 minutes b)Find the probability that among 100 students who take the exam at least one will complete it in less than 65 minutes. c)What should the exam duration be such that 80% of students can complete it?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Question

Suppose that the time it takes a student to complete an exam is a random variable that has normal distribution with mean 75 minutes and standard deviation 10 minutes.

a)Find the probability that a randomly selected student will complete the exam in more than 80 minutes

b)Find the probability that among 100 students who take the exam at least one will complete it in less than 65 minutes.

c)What should the exam duration be such that 80% of students can complete it?

Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage