A lot of 100 bulbs from manufacturing process is known to contain 10 defective and 90 non-defective bulbs. If a sample of 8 bulbs is selected at random, what is the probability that (a) The sample has 3 defective and 5 non-defective bulbs. (b) The sample has at least one defective bulb ?

A lot of 100 bulbs from manufacturing process is known to contain 10 defective and 90 non-defective bulbs. If a sample of 8 bulbs is selected at random, what is the probability that (a) The sample has 3 defective and 5 non-defective bulbs. (b) The sample has at least one defective bulb ?

Name: 82. A lot of 100 bulbs from manufacturing process isknown to contain
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 82. A lot of 100 bulbs from manufacturing process isknown to contain 10 defective and 90 non-defectivebulbs. If a sample of 8 bulbs is selected at random,what is the probability that(a) The sample has 3 defective and 5 non-defectivebulbs.(b) The sam

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...

See similar textbooks

Related questions

Q: A bag of 25 tulip bulbs contains 11 red tulip bulbs, 8 yellow tulip bulbs, and 6 purple tulip…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: A bag of 32 tulip bulbs contains 14 red tulip bulbs, 8 yellow tulip bulbs, and 10 purple tulip…

A: 14 - red 8 - yellow 10 - purple _____________________ 32 total bulbs select 2 without replacement

Q: A pathogen affects 1 person out of every 100 people. Suppose you come into contact with 40 randomly…

A: Given, p = 1/100 = 0.01 => q = 1 - p = 1 - 0.01 = 0.99 n = 40 Let X be the number of people…

Q: Imagine that 60 passengers on a cruise ship might be carrying a rare virus, and government health…

Q: Assume that you have 4 red balls and 7 blue balls from which randomly to select two without…

A: Given that there are 4 red balls and 7 blue balls. The total number of balls is, 7+4 =11 (a) Compute…

Q: A box contains 4 red balls, 8 white balls, and 6 black balls. Two balls are drawn at random from the…

A: probability of an event =number of choices of an event / number of total choices of sample space

Q: Amarble is selected at random from a jar containing 2 red marbles, 3 yellow marbles, and 4 green…

A: GivenA jar containsNo.of red marbles=2No.of yellow marbles = 3No.of green marbles = 4Total no.of…

Q: A box consists of 6 Red balls, 4 Black balls, 7 Blue balls, and 3 White balls. If we conduct the…

A: Given box consists ,6 red balls, 4 black balls, 7 blue balls and 3 white balls.So total balls =…

Q: A bag of 31 tulip bulbs contains 10 red tulip bulbs, 11 yellow tulip bulbs, and 10 purple tulip…

A: You have solved #a, so I will show #b-#d Given that there are total 31 tulip bulbs that contain 10…

Q: A typical box of 100 transistors contains 2 defective items. It is realized among the last 10 boxes,…

A: Number of transistors a box contains=100out of which 2 are defective items.Among the last 10 boxes,…

Q: Three balls are drawn one after the other from a bag containing 6 red balls, 5 yellow balls and 3…

A: 6 red5 yellow3 green _______________14 total ballsselect 3 at random without replacement.

Q: A shipment of 9 typewriters contains 3 that are defective. Find the probability that a sample of…

Q: A committee of 3 people is selected at random from 5 men and 5 women. What is the probability that…

Q: 3 students from a 20 student class will be selected to attend a meeting. 11 of the students are…

A: From the provided information, Total students = 20 Total female students = 11

Q: A bag of 29 tulip bulbs contains 12 red tulip bulbs, 10 yellow tulip bulbs, and 7 purple tulip…

A: Given data: Total bulb = 29 tulip bulb 12 = redtulip bulb 10 yellow tulip bulb 7 purple tulip bulb

Q: that (a) the balls are replaced before the second trial, and (b) the balls are not replaced before…

A: here given bag contains 5 white balls and 8 red balls total 13 balls here drawn of 3 balls happens 2…

Q: Suppose a telelvision company has 100 TVs in its stock with 8 defective ones. The company wants to…

A: There are total 100 TVs, among which 8 are defectives.A sample of 5 TVs are randomly selected.

Q: (a) What is the probability that the two randomly selected tulip bulbs are both red? (b) What is…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A class consists of 25 students of which 10 are girls are 15 are boys; 4 girls and 6 boys were put…

Q: An after-school club sonsists of 10 juniors and 12 seniors. If 2 students are chosen at random to…

Q: A Printed Circuit Board (PCB) lab consisting of 20 PCB machines was attacked by a computer virus.…

Q: Suppose that a shipment contains 5 defective items and 10 non defective items. If 7 items are…

A: From the provided information, A shipment contains 5 defective items and 10 non defective items.…

Q: A box containing 6 defective and 5 non-defective items. If 9 items are selected at a random without…

Q: A box contains 3 coins, where one coin is fair, one coin is two-headed, and one coin is weighted so…

Q: In a bag full of 10 marbles, 5 are yellow, 3 are blue and 2 are green. An individual picks two from…

A: A bag full of 10 marbles of which 5 are yellow, 3 are blue and 2 are green.It is given that the…

Q: A committee of 5 is to be selected from a group of 6 men and 9 women. Suppose the selection is made…

A: A committee of 5 is to be selected from a group of 6 men and 9 women.

Q: A bag of 100 tulips bulbs purchased from a nursery contains 40 read tulip bulbs, 35 yellow tulip…

A: The objective of this question is to find the probability of selecting a red tulip bulb from a bag…

Q: A bag of 34 tulip bulbs contains 14 red tulip bulbs, 12 yellow tulip bulbs, and 8 purple tulip…

Q: A bag of 30 tulip bulbs contains 11 red tulip bulbs, 10 yellow tulip bulbs, and 9…

A: A bag of 30 tulip bulbs contains 11 red tulip bulbs, 10 yellow tulip bulbs, and 9 purple tulip…

Q: What is the probability that selected coin is nickel? If it is nickel, what is probability that it…

A: Given : Box A= 5 nickels and 3 quarters Box B = 8 nickels and 4 quarters A coin is…

Q: What is the probability of randomly selecting two socks from a drawer containing 5 red socks, 3 blue…

Q: In a class of 30 students, 6 wear glasses. If we chooses at random and with replacement a sample of…

A: In a class of 30 students, 6 wear glasses.A sample of 5 students is selected with replacement.

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

82. A lot of 100 bulbs from manufacturing process is
known to contain 10 defective and 90 non-defective
bulbs. If a sample of 8 bulbs is selected at random,
what is the probability that
(a) The sample has 3 defective and 5 non-defective
bulbs.
(b) The sample has at least one defective bulb?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

bit a

VIEW

bit b

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Suppose that you select a random sample of 200 pharmaceutical corporate managers and a study showed that the proportion held by women is 0.15, What is the probability that in the sample less than 15% of the corporate managers will be women? What is the probability that in the sample between 13% and 17% of the corporate managers will be women? What is the probability that in the sample between 10% and 20% of the corporate managers will be women? If a sample of 100 is taken, how does this change your answers to (a) through (c)?
Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 4 Colonials games are chosen at random, what is the probability that exactly 3 of those games are won by the Colonials?
A sample of 76 items manufactured by a machine contains 13 defective items and the rest are non-defective. If 15 items are selected at random, what is the probability that fewer than 2 of these are defective?
Two boxes contain colored balls. Box 1 contains 4 blue, 5 green and 3 red balls. Box 2 contains 6 blue, 2 green and 3 red balls. A ball is selected at random from box 1 and transferred to box 2. A ball is then selected at random from box 2. If the ball selected from box 2 is green, what is the probability that the ball transferred from box 1 was: (a) red? (b) blue? Please Answer In 4 Decimal places
A bag contains 5 white and 8 red balls. Two drawings of 3 balls are made such that (a) the balls are replaced before the second trial, and (b) the balls are not replaced before the second trial. Find the probability that the first drawing will give 3 white and the second 3 red ball in each case.
There are three containers, A, B and C. Each container contains 25 balls, which are either red or blue. Container A has 15 red balls, container B has 16 red balls, and container C has 12 red balls. In a random experiment, one first randomly chooses a container, and then a ball is drawn from the chosen container. The probability of choosing container B in step 1 is 2/5 . The experiment is designed so that the events “the ball drawn is red” and “the ball drawn comes from container A” are independent. Suppose that the ball drawn is red. What is the probability that it came from container C?
Two machines are selected at random without replacement from 10 for inspection. Suppose that unknown to the inspector, three of the ten machines are defective. Find the probability that both machines picked for inspection are defective?