MHT CET202416 May 2024Morning ShiftMathematicsProbabilityActual
If a random variable X has the following probability distribution values Then P(X 6) has the value
Options
- A19 100
- B81 100
- C9 100
- D91 100
Correct answer
A. 19 100
Step-by-step solution
aligned & Since _ x=0 ^7 P ( X =x)=1 & array l 0+ k +2 k +2 k +3 k + k ^2+2 k ^2+7 k ^2+ k =1 aligned & 10 k ^2+9 k -1=0 & ( k +1)(10 k -1)=0 & k = 1 10 aligned aligned P ( X 6) & = P ( X =6)+ P ( X =7) & =2 ( 1 10 )^2+7 ( 1 10 )^2+ 1 10 & = 2 100 + 7 100 + 10 100 & = 19 100 aligned array array l . array aligned [ k 0]