we have an ongoing production process that has historically operated with 1% non conforming output. Every hour, a sample of 15 units is collected and inspected for non-conforming units . If one or more non-conforming units are found, the process is stopped and inspected for problems. a) What percentage of the time will the process need to be stopped? b) if the process suddenly deteriorates to 4% non-conforming output, What is the probability that it will be stopped on the very next sample? c) What percentage of non-conforming units would make a line stoppage 90% probable?

we have an ongoing production process that has historically operated with 1% non conforming output. Every hour, a sample of 15 units is collected and inspected for non-conforming units . If one or more non-conforming units are found, the process is stopped and inspected for problems. a) What percentage of the time will the process need to be stopped? b) if the process suddenly deteriorates to 4% non-conforming output, What is the probability that it will be stopped on the very next sample? c) What percentage of non-conforming units would make a line stoppage 90% probable?

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

Similar questions

Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention have launched studies of drug-resistant gonorrhea.† Suppose that, of 189 cases tested in a certain state, 12 were found to be drug-resistant. Suppose also that, of 429 cases tested in another state, 8 were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance. (Let p1 = the population proportion of drug-resistant cases in the first state, and let p2 = the population proportion of drug resistant cases in the second state.) State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: ______ Ha: ______ Find the value of the test statistic. (Round your answer to two decimal places.) = What is the p-value? (Round your answer to four decimal places.) p-value =…
As a hospital administrator of a large hospital, you are concerned with the absenteeism among nurses' aides. The issue has been raised by registered nurses, who feel they often have to perform work normally done by their aides. To get the facts, absenteeism data were gathered for the last three weeks, which is considered a representative period for future conditions. After taking random samples of 64 personnel files each day, the following data were produced Day 1 2 3 4 Aides Absent 5 4 2 6 a Day 6 7 8 9 10 Aides Absent 6 7 9 3 7 Day Aides Absent 11 12 13 (Enter your responses rounded to The upper control limit is and the lower control limit is three decimal places. If your answer for the lower control limit is negative, enter this value as 0.) 14 15 6 8 10 1 2 Because your assessment of absenteeism is likely to come under careful scrutiny, you would like a type I error of only 1 percent. You want to be sure to identify any instances of unusual absences. If some are present, you will…
An analyst from the UK Office of Statistics is investigating the provision of social support services throughout the city of Manchester. For each borough in the city they will establish the required level of support based on the percentage of residents below the poverty line. They take a random sample of 122 individuals in the borough of Bury and find that 25 have annual net-income below the poverty line. The analyst will decide to provide Bury with additional social services support if the sample data provides sufficient evidence that the true proportion of people living below poverty line is greater than 17%. A test of hypothesis is conducted. What is the null hypothesis? The true proportion of Bury inhabitants below the poverty line is lower than 0.17. The true proportion of Bury inhabitants below the poverty line is greater than 0.17. The sample proportion of Bury inhabitants below the poverty line is lower than 0.17. The sample proportion of Bury inhabitants below the poverty…
5. A pressure transducer regulates a climate control system in a factory. The transducer fails according to an exponential distribution with rate one failure every five years on average. a. What is the cumulative distribution function of the time until failure? b. What is the probability that a transducer chosen at random functions for eight years without failure? irteen Reliability and Maintainability c. What is the probability that a transducer that has functioned for eight years con- tinues to function for another eight years?
1. A automobile lubrication shop keeps track of the length of time it takes to change the oil in a customer's car. From the past records they have found that the length of an oil change is normally distributed with a mean μ = 35 minutes and a standard deviation σ = 6 minutes. What is the probability that the average length of time for nine oil changes will be 40 minutes or longer?
i need part a and b solution
Please only solve number 8. Thank you tutor and God bless!
6. True or False? Assume the below life table was constructed from following individuals who were diagnosed with slow-progressing form of prostate cancer and decided not to receive treatment of any form. The calculated survival probability for year 3, if the Kaplan-Meir approach is used to calculate the survival probability, is approximately 0.7438. Time in years Number at risk Nt Number of deaths, Dt Number of censored Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1
Identify the correct null hypothesis (from the below choices) for each: 1. A study wished to see if husbands or wives are more satisfied in their marriage. They selected 100 married couples and asked both the husband and wives to rate their satisfaction on a scale of 1 to 10. [Select] 2. A study wished to see if husbands or wives are more satisfied in their marriage. They selected a 100 married men and 100 married women and asked them rate their satisfaction on a scale of 1 to 10. [Select] 3. A study wished to see if husbands or wives are more satisfied in their marriage. From a previous study the average score (from 1 to 10) of wives was 6.5. They selected a sample of 100 married men and asked them to rate their satisfaction on a scale of 1 to 10. [Select]
In a Denver community, 50 cases of diabetes were reported among 15-19 years old out of a total population of 46,000 between September 1 to December 31, 2016. Ten percent (4,600) of the population were between 15-19 years old on April 1, 2016 and the size and age distribution of the population has remained constant. An investigation of the cases in the 15-19-year age group revealed that 22 of the reported cases were contracted prior to September 1. In addition, another 18 cases developed in April and May but were clinically resolved before September 1. What was the cumulative incidence rate of disease in 15-19 year olds per 1,000 population in this Denver community during the period September 1 to December 31, 2016?
Water availability is of prime importance in the life cycle of most reptiles. To determine the rate of evaporative water loss of a certain species of lizard at a particular desert site, 34 such lizards were randomly collected, weighed and placed under the appropriate experimental conditions. After 24 hours, each lizard was removed, weighed, and its total water loss was calculated by subtracting its body weight after treatment from its initial body weight. Previous studies have shown that the relative frequency distribution of water loss for this species of lizard has a mean of 3.1 grams and a s.d. of 0.8 gram b) What is the probability that x is less than 2.7 grams?