Polycarbonate plastic samples are tested for scratch resistance and impact resistance. The resultsof 49 samples are summarized below:ImpactresistanceScratch resistanceHigh402Low43TotalHighLowTotala) If a circular plate is selected at random, what is the probability that its scratch resistanceis high and its impact resistance is high?b) If a circular plate is selected at random, what is the probability that its scratch resistanceis high or its impact resistance is high?c) Consider the event that a circular plate has high scratch resistance and the event that acircular plate has high impact resistance. Are these two events mutually exclusive?

Impact resistance Scratch resistanceHighLow…

Answered: Polycarbonate plastic samples are…

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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Real estate ads suggest that 58 % of homes for sale have garages, 18 % have swimming pools, and 17 % have both features. What is the probability that a home for sale has a) a pool or a garage? Answer = % b) neither a pool nor a garage? Answer = % c) a pool but no garage? Answer = %
A 2015 study conducted by the National Center for Health Statistics found that 5151% of U.S. households had no landline service. This raises concerns about the accuracy of certain surveys, as they depend on random-digit dialing to households via landlines. Researchers pick fourfour U.S. households at random. Complete parts a through c. Question content area bottom Part 1 a) What is the probability that all fourfour of them have a landline? 0.05493 is not correct answer need help Try again. The Multiplication Rule says that for independent events A and B, to find the probability that both events occur, multiply the probabilities together. Upper P left parenthesis Upper A and Upper B right parenthesis equals Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B right parenthesisP(A and B)=P(A)×P(B) This rule can be extended to more than two independent events by multiplying the probability of each event. The set…
A) Calculate the probability that exactly 6 out of 10 randomly sampled 18- 20 year olds consumed an alcoholic drink. B) What is the probability that exactly four out of the ten 18-20 year olds have not consumed an alcoholic beverage? C) What is the probability that at most 2 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages?
Two six-sided fair dice were flipped. Given that the first dice landed on a 4, what is the probability that the sum of two dice is equal to 7? A. 1616 B. 536536 C. 2323 D. 13
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?
17)
A poll asked people with and without children under 18 years old if they frequently experienced stress. The results are shown in the accompanying table. Complete parts (a) through (c) below. Frequently Experience Stress Yes No Total With child under 296 234 530 18 уears No child under 196 314 510 18 years Total 492 548 1040 a. Find the probability that a randomly chosen person from this group said "Yes," given that the person has a child under 18 years old. (Type an integer or decimal rounded to four decimal places as needed.) b. Find the probability that a randomly chosen person from this group said "Yes," given that the person does not have a child under 18 years old. (Type an integer or decimal rounded to four decimal places as needed.) c. Find the probability that a randomly chosen person from this group said "Yes" or had a child under 18 years old. (Type an integer or decimal rounded to four decimal places as needed.)
Based on a study by Dr. P. Sorita at Indiana University, assume the eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel a. If one person is randomly selected, what is the probability that this person will have brown or blue eyes? b. If two people are randomly selected, what is the probability that at least one of them has brown eyes?
The needle used in a hypodermic syringe has to be produced according to very strict standards. As a result, approximately 1.6% of all the needles manufactured need to be discarded for defects and other imperfections. A batch of hypodermic needles contains 160 needles. a. What is the probability that at least one of the needles in the batch will be defective? b. How many needles are expected to be discarded due to imperfections? c. What is the probability that exactly that many needles (as calculated in part (c)) in a batch will need to be discarded a. P(At Least 1 Discarded) = Round to 4 significant digits b. Expected # of Needles Discarded = Round to nearest whole number c. P(Expected # of Needles Discarded) = Round to 4 significant digits
Blue Embrold.. Pointehaven 200 G. PANDOR A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentve and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 91.9% for the medical students admitted through special programs. A sample of 11 students from the special programs are randomly selected. An event is considered unusual if it has a probability of less than 5%. Round to at least 4 decimal places! a) Compute the probability that at least 10 of them graduated. b) Compute the probability that exactly 8 of them graduated. C) Would it be unusual to randomly select 11 students from the special programs and get exactly 8 that graduate? O no, it is not unusual O yes, it is unusual d) Compute the probability that at most 8 of them graduated. e) Would it be unusual to randomly select 11 students…
Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results are summarized as follows: Conforms to air-quality YES NO A 29 13 Supplier B 24 10 31 7 What is the probability of an emission conforms to air-quality and Supplied from B?

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