normal distribution with a mean of 6000 kilograms per square centimet a standard deviation of 100 kilograms per square centimetre. (a) What is the probability that a sample's strength is less than 6250 kg/cm²? (b) What is the probability that a sample's strength is between 5800 5900 kg/cm²?

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

Pn

Q1. The compressive strengths of samples of cement can be modelled by a
normal distribution with a mean of 6000 kilograms per square centimetre and
a standard deviation of 100 kilograms per square centimetre.
(a) What is the probability that a sample's strength is less than
6250 kg/cm²?
(b)
What is the probability that a sample's strength is between 5800 and
5900 kg/cm²?
(c) What strength is exceeded by 95% of the samples?
Transcribed Image Text:Q1. The compressive strengths of samples of cement can be modelled by a normal distribution with a mean of 6000 kilograms per square centimetre and a standard deviation of 100 kilograms per square centimetre. (a) What is the probability that a sample's strength is less than 6250 kg/cm²? (b) What is the probability that a sample's strength is between 5800 and 5900 kg/cm²? (c) What strength is exceeded by 95% of the samples?
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

Blurred answer