11-20. A day's production of 850 manufactured parts contains 50 parts that do not meetcustomer requirements. Two parts are selected randomly without replacement from thebatch. What is the probability that the second part is defective given that the first part isdefective?

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Answered: 11-20. A day's production of 850…

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...

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Sixty percent of US mothers with school-age children choose fast food as a dining option for their families one to three times a week. You randomly select 5 US mothers with school age children and ask them whether they choose fast food as a dining option for their families 1 to 3 times a week the random value represents the number of mothers who choose fast food 1 to 3 times a week. Find the probability that two mothers in your sample choose fast food 1 to 3 times a week. Find the probability that more than 2 mothers choose fast food once to 3 times a week. What is the standard deviation?
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3. Among the products of the first company, defective is 10%, the second - 20%, the third - 25%. We bought 6 products from the first company, 8 from the second and 4 from the third. For verification, one product was tested. Find the probability that it is valid.
7.1 John, Pedro and Rosita each roll one fair die. How do we calculate the probability that the score of Rosita is equal to the sum of the scores of John and Pedro?
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3. A study conducted at a large hospital found that 27.8 percent of all patients admitted to the hospital's ICU remained in the ICU for less than 24 hours. (A) If 8 patients are selected at random from the ICU patients at the hospital, what is the probability that 2 or fewer of them remained in the ICU for less than 24 hours? (B) Suppose that 20 patients are selected at random from the ICU patients at the hospital. Calculate the mean and standard deviation of the number of these patients who remained in the ICU for less than 24 hours. (C) Another result of the study was that for elective (non-emergency) admissions to the hospital's ICU, the length of the stay in the ICU had a mean of 18.9 hours and a standard deviation of 3.9 hours. Assuming that the length of stay in the ICU for elective admissions is normally distributed, what proportion of elective admissions remained in the ICU for less than 24 hours?

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11-20. A day's production of 850 manufactured parts contains 50 parts that do not meet customer requirements. Two parts are selected randomly without replacement from the batch. What is the probability that the second part is defective given that the first part is defective?