A study shows in a certain school that the average number of hours a student answers his/her module in a day is 26.8 hours with a standard deviation of 5.57. Assuming that the data are normally distributed, 1. Find the probability that the number of hours spent by a student in answering his/her modules is between 19 hours and 28 hours. 2. If there were 2,780 students in that school, how many students spent between 15 and 41 hours in answering his/her modules.  3. Find the probability that the number of hours spent by a student in answering his/her modules is less than 42 hours.

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...
icon
Related questions
Question

showing their computations of the Areas Under the Normal Curve. 

A study shows in a certain school that the average number of hours a student answers his/her module in a day is 26.8 hours with a standard deviation of 5.57. Assuming that the data are normally distributed,

1. Find the probability that the number of hours spent by a student in answering his/her modules is between 19 hours and 28 hours.

2. If there were 2,780 students in that school, how many students spent between 15 and 41 hours in answering his/her modules. 

3. Find the probability that the number of hours spent by a student in answering his/her modules is less than 42 hours.

Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON