A factory makes 56 motors, including 5 that are defective. The quality control department selects 10 at random for testing and rejects the whole batch if 1 or more in the sample are found to be defective. What is the probability that the batch will be rejected?

Q: A manufacturing machine has a 3% defect rate . If 9 items are chosen at random , what is the…

A: Given data, p=3%=0.03 n=9 P(X>=1)=?

Q: In turning out certain toys in a manufacturing process, the average number of defectives is 10%.…

A: From the provided information, Sample size (n) = 10 The average number of defectives is 10% that is…

Q: Assume that when adults with smartphones are randomly​ selected, 43​% use them in meetings or…

A: given data,p(use smart phone in meeting or classes) = 0.43p = 0.43q = 1 - p = 1 - 0.43    = 0.57n =…

Q: A manufacturing machine has a 9% defect rate. If 5 items are chosen at random, what is the…

A: Given that, A manufacturing machine has a 9% defect rate. Sample size = 5

Q: Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some…

A:

Q: A nationwide survey of seniors by the University of Michigan reveals that almost 30.0% disapprove of…

A:

Q: Of 500 employees at a university, 45% are female. A sample size of 60 employees is chosen at random.…

A: Note: Use the finite correction factor if n/N is greater than 0.05. Therefore, the Finite…

Q: Assume that when adults with smartphones are randomly​ selected, 59​% use them in meetings or…

A:

Q: 29% of automobile drivers state that they have driven while under the influence of alcohol. Suppose…

A: Given that  n = 4 , p = 29% = 0.29 , q = 1 - p = 1 - 0.29 = 0.71 X ~ Binomial (n = 4 , p = 0.29) X =…

Q: There is an 85% chance that a randomly selected person will take their own re-usable bags to the…

A: We have given that p = 85% = 0.85n = 20 Here we will use binomial distribution because probability…

Q: Assume that 15​% of people are​ left-handed. Suppose 12 people are selected at random. What's the…

A: Given : Probability of success,p = 0.15 Probability of failure,q=(1- 0.15 )= 0.85…

Q: 16 of the 200 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the…

A: Given that, 16 of the 200 digital video recorders​  (DVRs) in an inventory are known to be…

Q: Of the cartons produced by a​ company, 7​% have a​ puncture, 4​% have a smashed​ corner, and 1.1​%…

A: It was stated that the cartons produced by a​ company, 7​% have a​ puncture. The cartons produced by…

Q: A nylon connector manufacturing plant yields 16 % defective items. If 1000 connectors are randomly…

A:

Q: Of the cartons produced by a​ company, 10​% have a​ puncture, 8​% have a smashed​ corner, and 1.3​%…

A:

Q: manufacturing machine has a 9% defect rate. If 4 items are chosen at random, what is the…

A: p=0.09n=4

Q: Of the cartons produced by a​ company, 4​% have a​ puncture, 7​% have a smashed​ corner, and…

A: Given that, 4% have a puncture 7% have a smashed corner 1.3% have both a puncture and a smashed…

Q: In a study done in my chicken coop, 82% of my birds enjoy eating earwimgs. Chose 7 at random. FIND…

A: The provided information are: Probability of success (p)  = 82% = 0.82 Number of birds chosen (n) =…

Q: A coach claims that no more than 1/4 of undergrad students will attend football games. What is the…

A: Central limit theorem: The central limit theorem states that the sampling distribution of the sample…

Q: A manufacturing machine has a 5% defect rate.If 8 items are chosen at random, what is the…

A: Given,Probability for defective, P=5%=0.05.If 8 items are randomly chosen, n=8.

Q: A poll is given, showing 55% are in favor of a new building project. If 8 people are chosen at…

A: Given,n=8p=0.55X=no.of people favor the new building projectX~Binomial (n=8 , p=0.55)P(X=x)=nx px…

Q: A manufacturing machine has a 10% defect rate. If 9 items are chosen at random, what is the…

A: It is given that P( success ), p = 10% = 0.10Sample size, n = 9

Q: After vaccination, the probability of getting flu is 0.15. Without vaccination, it is 0.4. In a…

A: Given Information: After vaccination, probability of getting flu is 0.15. Without vaccination,…

Q: An experiment consists in asking 8 people whether they have a college degree, and counting the…

A: Let 0 represents that the individual, answer that they do not have the degree, while 1 represents…

Q: university study involves a simple random sample of 26 students taken from a population of​ 12,550.…

A: Given that Simple random sample size (n) = 26 Population size  = 12,550 Undergraduate students make…

Q: A manufacturing machine has a 8% defect rate. If 6 items are chosen at random, what is the…

A: Given data:   The given probability of defect rate is p=8%=0.08. The given numbers of items are n=8.…

Q: Bananas have an average rotting rate of 0.1%. A banana shipping company boxes bananas 48 to a box.…

A: Introduction: Denote X as the number of rotten bananas, among the n = 4 chosen bananas from a…

Q: Of the cartons produced by a​ company, 7​% have a​ puncture, 10​% have a smashed​ corner, and 1.1​%…

A:

Q: A survey reveals that 20% of the girls are Riphah come from remote areas. If 20 Riphah Girls are…

A: Given,n=20p=0.2q=1-p=1-0.2=0.8X=no.of girls come from remote area X~Binomial (n=20 ,…

Q: A sample of 3 medicine bottles is taken from an injection molding machine that is 10% nonconforming.…

A: Given,Sample size, n = 3Probability of success, p = 10% = 0.10Let X be a random variable represents…

Q: A shipment contains 10​ igneous, 8 ​sedimentary, and 8 metamorphic rocks ... If 5 rocks are selected…

A: Given that  Shipment contains rocks  igneous = 10 Sedimentary = 8 Metamorphic = 8 Total rocks = 26…

Q: When a die is rolled 80 times, the following is observed: 6 ones, 5 twos, 3 threes, 60 fours, 2…

A: