A manufacturing company produces knitted sports goods. It is found that 2% of the goods produced are defective. What is the probability that in a shipment of 100 such goods 4% or more will prove to be defective?

Answer: To solve this problem, we can use the binomial probability distribution formula. The binomial distribution is applicable when there are two possible outcomes (defective or non-defective) and each trial is independent with a constant probability of success (defective in this case). Let’s denote: – (p) as the probability of a single item being defective … Read more

GATE TF Syllabus 2025: Textile Engineering & Fibre Science

A. General Aptitude Verbal Aptitude Basic English grammar: tenses, articles, adjectives, prepositions, conjunctions, verb-nounagreement, and other parts of speech Basic vocabulary: words, idioms, and phrases in contextReading and comprehension Narrative sequencing Quantitative Aptitude Data interpretation: data graphs (bar graphs, pie charts, and other graphs representing data), 2-and 3-dimensional plots, maps, and tables Numerical computation and … Read more

A manufacturing company produces knitted sports goods. It was found that 2% of the goods produced were defective. What is the probability that in a shipment of 100 such goods, 4% or more will prove to be defective?

To solve this problem, we can use the binomial probability distribution formula. The binomial distribution is applicable when there are two possible outcomes (defective or non-defective) and each trial is independent with a constant probability of success (defective in this case).Let’s denote: (p) as the probability of a single item being defective (0.02 in this … Read more