In this paper, a one-sample point predictor of the random variable X is the occurrence of an event that happened in any successive visits (Li and Ri :i = 1, 2, . . . , n, interval censoring) is investigated. Our proposed method is based on finding the expected value of the conditional distribution of X given Li and Ri (i = 1, 2, . . . , n). To make the desired prediction, we firstly used the mid-point approximation and approximate maximum likelihood estimators (AMLEs) of the unknown parameters under the Weibull distribution. After obtaining the parameter estimation, the prediction of X, can be made. Moreover, the 95% bootstrap confidence intervals of unknown parameters and the 95% bootstrap prediction bounds of X are presented. The performance of the proposed procedure based on the mean squared error (MSE) and the average width (AW ) of the confidence interval is investigated by employing Monte Carlo simulation. Real data is also studied to illustrate the purposed procedure

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