In the present study, a one-parameter continuous probability distribution, which is a modified form of ‘New Linear-exponential distribution’ and ‘Modified Linear-exponential distribution’, has been proposed for statistical modeling of survival time data with better results. Several characteristics and descriptive measures of Statistics of the proposed distribution have been derived and discussed. To test validity of the theoretical work of this distribution, goodness of fit has been applied to some over-dispersed data-sets which were earlier used by other researchers. It is expected to be a better alternative of Lindley distribution and in some of the cases; it is expected to be a better alternative of New Linear-exponential distribution and Modified Linear-exponential distribution.