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Let X have the pdf  is equal to:

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SSC CGL Tier-II (JSO) 2022 Official Paper (Held On: 4 March 2023)
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  1. 13/18
  2. 12/19
  3. 11/18
  4. 11/20

Answer (Detailed Solution Below)

Option 1 : 13/18
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Detailed Solution

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The correct answer is .
Key Points 

To find the probability  using the given probability density function (pdf), we need to integrate the pdf over the specified range.
The pdf  is a piecewise function. Let's split the integration into two parts: 
For : 

For  :

Now, we can evaluate the probability: 
Evaluating the integrals: 
Simplifying this, we have: 
Hence, the required probability is .  

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