An article manufactured by a company consists of two parts A and B. In the process of manufacture of part A, 9 out of 100 are likely to be defective. Similarly, 5 out of 100 are likely to be defective in the process of manufacture of part B. What will be the probability that the assembled part will not be defective? (Probability)

Shohan

6 views

2025-01-04 04:42

1 Answers

Shohan

প্রশ্নে বলা হচ্ছে যে, একটি দ্রব্যের দুটি অংশ A এবং B. A উৎপাদনের সময় 100 টির মধ্য হতে 9 টি ত্রুটিগ্রস্থ পাওয়া যায় এবং B উৎপাদনের সময় 100 টির মধ্যে হতে 5 টি ত্রুটিগ্রস্থ পাওয়া যায়। A এবং B এর উৎপাদিত দ্রব্যটিতে ত্রুটি না থাকার সম্ভাবনা কত?

Probability of being defective $= (\frac{9}{100} \times \frac{95}{100}) + (\frac{91}{100} \times \frac{5}{100}) + (\frac{9}{100} \times \frac{5}{100})$

$= (\frac{9}{100} \times \frac{19}{20}) + (\frac{91}{100} \times \frac{1}{20}) + (\frac{9}{100} \times \frac{1}{20}) = \frac{171}{2000} + \frac{9}{2000} = \frac{171 + 91 + 9}{2000} = \frac{271}{2000}$

$∴ P r o b a b i l i t y o f n o t b e i n g d e f e c t i v e = 1 - \frac{271}{2000} = \frac{2000 - 271}{2000} = \frac{1729}{2000} = 0.8645 (a n s w e r)$

6 views Answered 2024-12-14 13:31

Related Questions

The percentage of profit earned by selling an article for Tk. 1,920 is equal to the percentage of loss incurred by selling the same article for Tk. 1,280. At what price should the article be sold to make a profit of 25%?

1 Answers 4 Views

The percentage prof earned by selling an article an article for Tk. 1920 is equal to the percentage loss incurred by selling the same article for Tk. 1280. At what price should the article be sold to make 25% profit

1 Answers 7 Views

A man sells an article at a profit of 25% . If he had bought it at 20% less and sold it for Tk. 10.50 less, he would have gained 30% . Find the cost price of the article.

1 Answers 6 Views

The profit of a company is given in taka by p= 3x2-35x+50, where x is the amount in Taka spent on advertising. For what values of x does the company make a profit?

1 Answers 7 Views

Someone plans to invest x taka in the bond of 'M' company, which pays 10% interest and y taka in 'N' company bonds, which pay 9% interest. He will invest 9,000 taka require that he receives 850 taka as interest. How much should be invest in each company? (Interest)

1 Answers 8 Views

In 2017, the number of pairs of the shoes that a company sold to retailers decreased by 20%, while the price per pair increased by 20% from that of the previous year. Company's revenue from the sales of the shoes in 2017 was Tk 6,00,000. Find out the difference between the sales revenue of the year 2017 and 2016? (Sales Revenue)

1 Answers 18 Views

The percentage profit earned by selling an article for Tk. 1,920 is equal to the percentage loss incurred by selling the same article for Tk. 1,280. At what price should the article be sold to make 25% profit?

1 Answers 5 Views

The cost of operating a Frisbee company in the first year is $10,000 plus $2 for each Frisbee. Assuming the company sells every Frisbee it makes in the first year for $7, how many Frisbees must the company sell to break even?

1 Answers 4 Views

New plan will bring.......... radical changes to the company. (Fill in the gap with appropriate preposition/article)

1 Answers 4 Views

If we extend our helping hands towards others in their difficulty, they similarly return the help at the time of our need. (Translate into Bengali)

1 Answers 6 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)