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A new two parameter life time model, which accommodates increasing, decreasing, bathtub, and a broad variety of monotone failure rates, has been introduced in this article. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, moment of residual and reversed residual lives have been derived. The maximum likelihood has been proposed for estimating the model parameters. The importance and flexibility of the new distribution has been illustrated by means of an applications to real data set supported by a Monte-Carlo simulation study.