**Understanding Probability in Quality Control**In the context of quality control for a company, it's essential to evaluate the likelihood of defects in products. Consider the following scenario regarding cartons produced by a company:- **9%** of the cartons have a **puncture**.- **3%** have a **smashed corner**.- **1.2%** have **both a puncture and a smashed corner**.To determine the **probability** that a randomly selected carton has either a puncture or a smashed corner, apply the principle of inclusion-exclusion:\[ P(\text{puncture or smashed corner}) = P(\text{puncture}) + P(\text{smashed corner}) - P(\text{both}) \]By substituting the given percentages:\[ P(\text{puncture or smashed corner}) = 9\% + 3\% - 1.2\% \]Therefore, the probability that a carton has a puncture or a smashed corner is calculated as:\[ 9 + 3 - 1.2 = 10.8\% \]This analysis helps in understanding and improving product quality by identifying and reducing defects.

Given that, P(have a puncture) = 9% P(have a smashed corner) = 3% P(have a puncture and a smashed…

Of the cartons produced by a company, 9% have a puncture, 3% have a smashed corner, and 1.2% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corne The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or decimal. Do not round.)

Of the cartons produced by a company, 9% have a puncture, 3% have a smashed corner, and 1.2% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corne The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or decimal. Do not round.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Please help with the probability of a child having a blue eye color. I'm not sure if I have it right
78% of all students at a college still need to take another math class. If students are randomly selected, find the probability that. I only need help on questions C and D.
A golf ball is selected at random from a golf bag. If the golf bag contains 5 orange balls, 6 black balls, and 7 brown balls, find the probability of the following event. The golf ball is orange or black. The probability that the golf ball is orange or black is. (Type an integer or a decimal rounded to three decimal places as needed.)
A. If 6% of the population of grass in Kentucky is bluegrass, find the probability that in a sample of 150 acres, there are exactly 6 acres of Kentucky bluegrass. B. Find the probability that there are at most 2 acres of Kentucky bluegrass.
5. When a roulette wheel is spun a ball ends up on one of the 40 numbers located on it; 19 of the numbers are black, 19 are red and 2 are green. Find the following: a. the probability that the ball lands on a green number. b. the probability that the ball lands on a number that is not red.
In a survey of college students, 823 said that they have cheated on an exam and 1771 said that they have not. If one college student is selected at random, find the probability that the student has cheated on an exam. O O A. B. C. D. 1771 2594 2594 1771 823 2594 2594 823 C
33% of all college students major in STEM (Science, Technology, Engineering, and Math). If 39 college students are randomly selected, find the probability that d. Between 7 and 12 (including 7 and 12) of them major in STEM.
Of the cartons produced by a company, 10% have a puncture, 5% have a smashed corner, and 0.9% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.)
A spinner with nine equal-sized sections numbered one to nine is spun once. What is the probability that the spinner will land on a number that is not a multiple of three?A. 2/3 B. 1/3 C. 5/9 D. 7/9
The probability that a person in the US has a type A positive blood is 30%. Three unrelated people in the US are selected at random. a. Find the probability that all three have A positive blood. b. Find the probability that none of the three have type a positive blood. c. Find the probability that at least one of the three has A positive blood.
A golf ball is selected at random from a golf bag. If the golf bag contains 7 type A balls, 6 type B balls, and 9 type C balls, find the probability that the golf ball is not a type A ball. The probability that the golf ball is not a type A ball is nothing. (Type an integer or decimal rounded to three decimal places as needed.)
Suppose a jar contains 15 red marbles and 26 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red. Answer should be in fractional form. Question Help: Video Message instructor Submit Question Type here to search F1 1 Q F2 2 F3 # m W E F4 دیا LA 4 O 100 F5 R % 5 F6 3 t BOLL F7 6 F8 & 17 Y