Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for RD Sharma maths class 12 chapter Probability exercise 30.7 question 30

Provide solution for RD Sharma maths class 12 chapter Probability exercise 30.7 question 30

Answers (1)

Answer:

 \frac{81}{85}

Hint:

Use Baye’s theorem. 

Given:

 If machine is correctly set up it produce 90% acceptable item. If it incorrectly set up the produce 40% acceptable item. Past experience show 80% of setup is correctly done. If after certain set up the machine produce 2 acceptance items.

Solution:

Let A be event that machine produce 2 acceptable item.

E1  Represents event of correct setup.

E2  Represents event of incorrect setup.

\begin{aligned} &P(E_1)=0.8\\ &P(E_2)=0.2\\ &P\left ( \frac{A}{E_1} \right )=0.9\times 0.9\\ &P\left ( \frac{A}{E_2} \right )=0.4\times 0.4\\ \end{aligned}

Using Baye’s theorem we get

\begin{aligned} &P\left (\frac{E_2}{A} \right )=\frac{P(E_2).P\left ( \frac{A}{E_2} \right )}{P(E_1)\times P\left ( \frac{A}{E_1} \right )+P(E_2)\times P\left ( \frac{A}{E_2} \right )}\\ &=\frac{{\frac{8}{10}\times \frac{81}{100} }}{\frac{8}{10}\times \frac{81}{100}+\frac{2}{10}\times \frac{16}{100}}\\ &=\frac{648}{680}\\ &=\frac{81}{85} \end{aligned}

Posted by

Gurleen Kaur

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Single Girl Child Scholarship 2024: Registration extended till January 10; eligibility criteria, amount
anam-khan

CBSE wants international boards reined in; letter to education ministry seeks directions for AIU
anam-khan

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14

Latest Question