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1) For a particular type of wool the number of 'crimps per \( 10 cm \) ' follows a normal distribution with mean \( 15.1 \) and standard deviation 4.79. (a) What proportion of wool would have a 'crimp per \( 10 cm \) ' measurement of 6 or less? (b) If more than \( 7 \% \) of the wool has a 'crimp per \( 10 cm \) ' measurement of 6 or less, then the wool is unsatisfactory for a particular processing. Is the wool satisfactory for this processing?

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1) For a particular type of wool the number of 'crimps per \( 10 cm \) ' follows a normal distribution with mean \( 15.1 \) and standard deviation 4.79. (a) What proportion of wool would have a 'crimp per \( 10 cm \) ' measurement of 6 or less? (b) If more than \( 7 \% \) of the wool has a 'crimp per \( 10 cm \) ' measurement of 6 or less, then the wool is unsatisfactory for a particular processing. Is the wool satisfactory for this processing?
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लोगों में से यादृच्छया चुने गए अधि से आधक 10 लगामें पाहां पर चिह्न ' \( X \) ' अंकित है और शेष 15 पर 5. एक कलश (पात्र) में 25 गेंदे है, जिनमें से 10 गेदों पर चिह्न \( X \) अकत है और शेष 15 पर चिह् ' \( Y \) ' अंकित है। कलश में से एक गेंद यादृच्छया निकाली जाती है और उस पर अंकित चिह्न को नोट (लिख) करके उसे कलश में प्रतिस्थापित कर दिया जाता हे। यदि इस प्रकार से 6 गेंदें निकाली जाती हों, तो अग्रालिखित प्रायिकताएँ ज्ञात कीजिए। (i) सभी पर चिद्न ' \( X \) ' अंकित हो। (ii) 2 से अधिक पर चिह्न 'Y' नहीं अंकित हो। (iii) कम से कम 1 गेंद पर चिह्न ' \( Y \) ' अंकित हो। (iv) ' \( X \) ' तथा ' \( Y \) ' चिह्नों से अंकित गेंदों की संख्याएँ समान हों। ' \( X \) ' चिह्न से अंकित गेंदों की संख्या का माध्य भी ज्ञात कीजिए।
asked Feb 26, 2022 in Probability Distribution by kanika1754 (15 points)

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