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MHT CET 2025 25th April Morning Shift

MCQ+2 / -02025

Let X denote the number of hours you study on a Sunday. It is known that


$$ \mathrm{P}(\mathrm{X}=x)=\left\{\begin{array}{cc} 0.1 & , \text { if } x=0 \\ \mathrm{k} x & , \text { if } x=1 \text { or } 2 \\ \mathrm{k}(5-x) & , \text { if } x=3 \text { or } 4 \\ 0 & , \text { otherwise } \end{array}\right. $$


where k is constant. Then the probability that you study at least two hours on a Sunday is

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