Defect rate
A manufacturing machine has a 3% defect rate.
If 9 items are chosen at random, what is the probability that at least one will have a defect?
If 9 items are chosen at random, what is the probability that at least one will have a defect?
Correct answer:

Tips for related online calculators
Looking for a statistical calculator?
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Would you like to compute the count of combinations?
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Would you like to compute the count of combinations?
You need to know the following knowledge to solve this word math problem:
- statistics
- binomial distribution
- combinatorics
- probability
- combinatorial number
- basic functions
- percentages
Themes, topics:
Grade of the word problem:
Related math problems and questions:
- Internet anywhere
In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least six students have access to the internet
- Simultaneously 80530
The product has a 10% probability of an appearance defect, a 6% probability of a functional deficiency, and a 3% probability of both defects simultaneously. Are the random events A - the product has an appearance defect and B - the product has a functiona
- Drinks
In a country, 65% of people drink coffee, 50% drink tea 25% drink both. What is the probability that a person chosen at random will drink neither tea nor coffee?
- Probability 6549
There are 8 balls in the box, and 3 of them are new. For the first game, 2 balls are randomly selected from the box and returned after the game! For the second game, 2 balls are again chosen at random. What is the probability that both have already been u
- 6 married
Six married couples are in a room. If two people are chosen at random. Find the probability that; a). they are married. b). one is male, and one is female.
- Students 34
Students were surveyed as part of a Statistics project to determine if younger adults are more likely to have tattoos. The results are listed in the two-way table below: age; At least one tattoo; No tattoo; Row totals Age 18 - 29; 165 ; 342; 507 Age 30 -
- Probability 68584
There are five whites and nine blacks in the destiny. We will choose three balls at random. What is the probability that a) the selected balls will not be the same color, b) will there be at least two blacks between them?
- Conditional probability
Suppose a batch contains ten items, of which four are defective. Two items are drawn at random from the batch, one after the other, without replacement. What is the probability that: I) both are defective? Ii) Is the second item defective?
- Perfect cubes
Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube?
- Suppose 6
Suppose the life span of a revolutionary light bulb is normally distributed with a mean life span of 70 thousand hours and a standard deviation of 3 thousand hours. If a light bulb is chosen at random: a) what is the probability the life span will be with
- Cancer in woman population
In a particular population of women, 40% have had breast cancer, 20% are smokers, and 13% are smokers and have had breast cancer. If a woman is selected at random from the population, what is the probability that she has breast cancer, smokes, or both?
- Testing students
Giving a test to a group of students, the grades and gender are summarized below. Grades and Gender ; A; B ; C ; Total Male; 20; 6; 19 ; 45 Female ; 17; 18; 13; 48 Total; 37; 24; 32; 93 If one student is chosen at random, a) Find the probability that the
- False positive, false negative
Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test to determine if you're allergic to cats has a false positive rate of 5%; that is, 5% of the time, the test will indicate incorrectly that you are allergic
- Probability 69914
During the exam, each student receives 30 different questions, from which he chooses 3 at random. To pass the exam, he needs to be able to answer two correctly. what is the probability that a student will pass if he mastered 70% of the questions (70% of t
- Manufacturer 80810
The manufacturer indicates that the germination rate of the pepper seeds is 68%. What is the probability that a) out of ten seeds sown, at least 8 will germinate? b) will at most 3 sprouts out of ten seeds be sown?
- Round destiny
There are five white and ten red balls in the destiny. Four balls will be drawn at random. What is the probability of the event "at least two spheres are white"?
- Error rate
The exam has six questions. Students have an error rate of 20% and can have a maximum of 1 question wrong. What is the probability that they will succeed?