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(log x)/x का उच्चिष्ठ मान ज्ञात कीजिये ...

`(log x)/x` का उच्चिष्ठ मान ज्ञात कीजिये यदि ` 0 lt x lt infty `

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The cumculative distribution function of a discrete random variable is given by F(x)={{:(0, -infty lt x lt -1), (0.15, -1 le x lt 0), (0.35, 0 le x lt 1), (0.60, 1 le x lt 2), (0.85, 2 le x lt 3), (1, 3 le x lt infty):} Find (i) the probability mass function (ii) P(X lt 1) and (iii) P(X ge 2) .

The cumculative distribution function of a discrete random variable is given by F(x)={{:(0, "for "-infty lt x lt 0), ( 1/2, "for " 0 le x lt 1), (3/5, "for " 1 le x lt 2), (4/5, "for " 2 le x lt 3), (9/10, "for " 3 le x lt 4), (1, "for " 4 le x lt infty):} Find (i) the probability mass function (ii) P(X lt 3) and (iii) P(X ge 2) .

Statement - 1 : If x gt 1 then log_(10)x lt log_(3)x lt log_(e )x lt log_(2)x . Statement - 2 : If 0 lt x lt 1 , then log_(x)a gt log_(x)b implies a lt b .

Statement - 1 : If x gt 1 then log_(10)x lt log_(3)x lt log_(e )x lt log_(2)x . Statement - 2 : If 0 lt x lt 1 , then log_(x)a gt log_(x)b implies a lt b .

Find the range of f(x)= (x^2 + x +2)/(x^2 + x +1) (-infty lt x lt infty)