Q4 of 77 Page 32

A random variable has the following probability distribution:

The value of p is


The probability distribution of X is:



We Know that



Therefore,


⇒ 2p+2p+3p+p2 +2p2 +7p2 +2p=1


⇒ 10p2 +9p-1=0


⇒ 10p2 +10p-p-1=0


⇒ 10p(p+1)-1(p+1)=0


⇒ (10p-1)(p+1)


10p-1=0 or p+1=0



We considered because p is a probability and probability cannot be in negative


Option (B) is incorrect because p is a probability and probability cannot be in negative


Option (C) is incorrect because p is a probability and probability cannot be in negative


Option (D) is incorrect because by putting , the sum total of pxi is not equal to 1

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