What is the probability that a random integer from 94 to 744 is divisible by 14? (All integers in the given range are equally likely to be chosen). Give your answer as a percentage, i.e. a number between 0 and 100, rounded to four decimal places. Hint: The number of integers from a to b is b - a + 1 and the number of integers from a to b that are divisible by dis - +1. • The notation [x] indicates the floor function. For example, [2.71] = 2. • The notation [x] indicates the ceil function. For example, [3.14] = 4. . If x is an integer, then [x] = [x] = = x.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
What is the probability that a random integer from 94 to 744 is divisible by 14? (All integers in the given range are
equally likely to be chosen).
Give your answer as a percentage, i.e. a number between 0 and 100, rounded to four decimal places.
Hint: The number of integers from a to b is ba + 1 and the number of integers from a to b that are divisible by
dis - [1+1.
• The notation [x] indicates the floor function. For example, [2.71] = 2.
• The notation [x] indicates the ceil function. For example, [3.14] = 4.
.
If x is an integer, then [x] = [x] =
= x.
Transcribed Image Text:What is the probability that a random integer from 94 to 744 is divisible by 14? (All integers in the given range are equally likely to be chosen). Give your answer as a percentage, i.e. a number between 0 and 100, rounded to four decimal places. Hint: The number of integers from a to b is ba + 1 and the number of integers from a to b that are divisible by dis - [1+1. • The notation [x] indicates the floor function. For example, [2.71] = 2. • The notation [x] indicates the ceil function. For example, [3.14] = 4. . If x is an integer, then [x] = [x] = = x.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,