Answered: 5 out of 100 items manufactured by a…

Name: 5 out of 100 items manufactured by a machine are defective. If a rand
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: 5 out of 100 items manufactured by a machine are defective. If a random sample of 60items are taken, find the probability of getting 6 defective items by using the binomialdistribution,

Math

Probability

5 out of 100 items manufactured by a machine are defective. If a random sample of 60 items are taken, find the probability of getting 6 defective items by using the binomial distribution,

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: manufacturing machine has a 10% defect rate if 8 items are chosen at a random what is the…

A: It is given that A manufacturing machine has a 10% defect rate i.e. probability that a machine has…

Q: Suppose X is a binomial random variable where the probability of success on a single trial is 0.89…

A: From the provided information, Sample size (n) = 617 Probability of success p = 0.89

Q: served at a cafeteria is a random variable having an exponential distribution with a mean of 3…

Q: The table summarizes results from 988 pedestrian deaths that were caused by automobile accidents.…

A: Driver Intoxicated? Pedestrian intoxicated? Yes No Total Yes 42 82 124 No 280 584 864…

Q: Please help me understand set theory.

A: The set theory is a mathematical theory which includes well-determined collections of…

Q: A random sample of 306 new Smile Bright electric toothbrushes showed that 19 were defective.…

A: Given that there are 19 out of 306 new smile bright electric toothbrushes are defective.

Q: A San Diego interviewer has found that one in four people approached will agree to take part in her…

A: Solution: Let X be the random variable that the number of people will agree to an interview. The…

Q: A recent survey of 1050 U.S. adults selected at random showed that 625 consider the occupation of…

A: Out of 1050 randomly selected US adults, 625 consider the occupation of firefighter to to have very…

Q: It is speculated that an impurity exists in 30% of all water refilling stations in Metro Manila. To…

A: The percentage of impurity exits in metro manila is 30%. The number of total refilling station are…

Q: A sample of 10 washing machines is selected from a process that is 8% nonconforming. What is the…

A: Given, A sample of 10 washing machines is selected from a process that is 8% nonconforming. This…

Q: An unfair coin with a probabilty of tails as 0.55 is tossed 8 times. Find the probability that a…

Q: Suppose you have a bucket of 150 balls: 47 red, 62 blue, and 41 green. Describe the distribution for…

A: Given that there are 150 balls. Among 150 balls, 47 red, 62 blue, and 41 green. P(green…

Q: Suppose a biologist is interested in monitoring the number of oak trees with oak wilt per acre. The…

Q: The table summarizes results from pedestrian deaths that were caused by automobile accidents.…

A: The table summarizes result from pedestrian deaths that were caused by automobile accidents is…

Q: The table summarizes results from 986 pedestrian deaths that were caused by automobile accidents.…

A: Driver intoxicatedPedestrian intoxicatedYesNoYes5480No243609From the addition law of probability, we…

Q: Based on the O-D survey, 25% of commuters prefer transit for daily trips. There are 5 commuters…

A: Given,n=5p=0.25A random variable X~Binomial(n=5 , p=0.25)P(X=x)=5x0.25x1-0.255-x ; x=0,1,2,..5

Q: In a family with 2 children, the probability that all the children are girls is approximately…

Q: probability of obtaining a even number of heads

A: here use binomial distribution table n = no of trial = 9 p = probability of success = 0.6

Q: If 5% of patients undergoing surgery get infected, what is the chance that 10 or more of the next 30…

A: probability mass function of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-kwhere k = number…

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

5 out of 100 items manufactured by a machine are defective. If a random sample of 60
items are taken, find the probability of getting 6 defective items by using the binomial
distribution,

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

Step 2

VIEW

Step by step

Solved in 2 steps with 1 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 the amount of time a random customer spends in a grocery store is uniformly distributed between 10 and 65 minutes. What is the probability a random customer will spend less than one hour in the grocery store?
The table summarizes results from 989 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 54 72 No 222 641 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was intoxicated. Please enter a decimal to 4 decimal places.Probability =
A factory produces light bulbs with a 2% defect rate. If a random sample of 100 light bulbs is chosen, what is the probability of finding exactly 3 defective bulbs?
A geneticist constricts an experiment with peas, one sample of offspring consisted of 460 green peas and 143 yellow peas. Based on the results, estimate the probability of getting an offspring pea that is green. Give answer using the appropriate rounding rule
The table summarizes results from 986 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Intoxicated? Yes No Pedestrian Intoxicated? Yes No 54 80 243 609 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was not intoxicated. Please enter a decimal to 4 decimal places. Probability = 0.7536 X
A recent survey of 1010 U.S. adults selected at random showed that 647 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.
What is the probability that a Z-score will be 0.92 or less?
A local county has an unemployment rate of 6.1%. A random sample of 20 employable people are picked at random from the county and are asked if they are employed. The distribution is a binomial. Round answers to 4 decimal places. Find the probability that there are at most 2 in the sample are unemployed.
The table summarizes results from 983 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 42 85 No 243 613 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was not intoxicated. Please enter a decimal to 4 decimal places.Probability =
A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.8%. What is the probability that in a random sample of 580 headache sufferers, less than 59.5% obtain relief? Probability=?
Find the expected number of infected ducks in a sample of 5 ducks if the probability of an infected duck is 0.3 and the ducks can be considered independent.
There are 10 eggs with different colors in each basket. A child randomly chooses 1 egg from each basket. Explain fully whether or not the binomial distribution can be applied to the problem of randomly choosing 3 green eggs from 5 baskets