Gears produced by a grinding process are categorized either as conforming (suitable for intendedpurpose), degraded (unsuitable for intended purpose, but usable for another purpose), or scrap (notusable). Suppose that 80% of gears produced are conforming, 15% are degraded, and 5% are scrap.Ten gears are selected at random.(a) What is the probability that one or more gear is scrap?(b) What is the probability that eight or more are conforming or degraded?(c) What is the probability that 4 are conforming, 4 are degraded and 2 are scrap?

Introduction: It is given that 80% or 0.8 proportion of gears produced are conforming, 15% or 0.15…

Answered: Gears produced by a grinding process…

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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Suppose that the proportions of blood phenotypes in a particular population are as follows: A B АВ 0.42 0.14 0.02 0.42 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are 0? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)
Eighty percent of households in the United States have cable internet. A random sample of 10 households is selected. What is the probability that at least 7 of the households have cable internet? A. 0.8791 B. 0.6778 C. 0.3222 D. 0.1209 E. None of the above
3. In testing a certain kind of truck tire over rugged terrain, it is found that 25% of the trucks fail to complete the test run without a blowout. Of the next 16 trucks tested, find the probability that a. From 3 to 6 have blowouts, exclusive; b. Fewer than 4 have blowouts; c. More than 5 have blowouts.
The following table shows the numbers of patients classified as underweight, normal weight, overweight and obese according to their diabetes status. Underweight Normal Weight Overweight Obese Diabetes 8 34 65 43 No Diabetes 12 85 93 40 What is the probability that a patient selected at random is overweight? Answer: What is the probability that they are obese and diabetic? What proportion of the diabetics are obese?
In a 2018 study, it was determined that 14% of Americans smoke. In a separate study, it was determined 9% of smokers die of lung cancer, and 1% of non-smokers die of lung cancer. Assuming these values hold true today, find the following: a. What is the probability that a randomly selected person is a smoker and died of lung cancer? b. What is the probability that a randomly selected person dies of lung cancer? c. What is the probability that a randomly selected person is a smoker or died of lung cancer?
A university conducted a survey of 272 Sophomore, Junior, and Senior undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. Sophomore Junior Senior Total Satisfied 48 65 59 172 Neutral 16 18 9. 43 Not satisfied 16 14 27 57 Total 80 97 95 272 A survey participant is selected at random. What is the probability that he or she is a Junior or Senior? The probability that a student is a Junior or a Senior is (Round to three decimal places as needed.)
R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a college education is important to succeed in the business world. If a random sample of five Americans is selected, what is the probability that At most 3 people will agree with that statement. Select one: O a. 0.7 O b. 1 О с. 0.8 O d. 0.913
Based on a Comcast survey, there is a 0.8 probability that a randomly selected adult will watch prime-time TV live, instead of online, on DVR, etc. Assume that seven adults are randomly selected. Find the probability that fewer than three of the selected adults watch prime-time live. OA. 0.00430 B. 0.000358 OC. 0.0512 O D. 0.00467
The table below shows the results of a survey that asked 1058 adults from a certain country if they favored or opposed a tax to fund education. A person is selected at random. Complete parts (a) through (c). Support Oppose Unsure Total Males 154 327 490 Females 243 293 32 568 Total 397 620 41 1058 (a) Find the probability that the person opposed the tax or is female. P(opposed the tax or is female) = 0.846 (Round to the nearest thousandth as needed.) (b) Find the probability that the person supports the tax or is male. P(supports the tax or is male) = 0.693 (Round to the nearest thousandth as needed.) (c) Find the probability that the person is not unsure or is female. P(is not unsure or is female) = Incorre (Round to the nearest thousandth as needed.)
A study published in 2012 concluded that 33 percent of the patients on Prednisone, a medication used for the treatment of various allergic disorders, suffered adverse effects. If 90 patients with allergic disorders are selected randomly and administered Prednisone, what is the approximate probability that at most 20 of them will suffer adverse effects? 0.022 0.330 0.670 0.015 0.042
The table below shows the results of a survey that asked 2853 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (d). Occasionally Frequently 223 Not at all Total Male 453 793 1469 Female 205 430 749 1384 Total 428 883 1542 2853 (a) Find the probability that the person is frequently or occasionally involved in charity work. P(being frequently involved or being occasionally involved) = 0.460 (Round to the nearest thousandth as needed.) (b) Find the probability that the person is female or not involved in charity work at all. P(being female or not being involved) = (Round to the nearest thousandth as needed.)
Five thousand people were classified by their generation and their top pick for food cuisine. The results are provided below. American Chinese Italian Mexican Millennials & Gen Z 300 380 220 1600 Gen X 200 250 100 450 Baby Boomer & Older 450 150 525 375 As needed, state answers to four significant figures. If a person is randomly selected, what is the probability that the person is A member of Gen X? A Millennial/Gen Z or had a top pick of Mexican Food? A Baby Boomer/Older and had a top pick of Italian Food? A Gen X given that the person picked American Food? Picked Chinese Food given that the person is a Millennial/Gen Z?

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