Consider the hazard function (t) and the survival function S(t). Which of the following statements about their relationship is accurate? O >(t) measures the instantaneous rate of event occurrence at time t, given survival up to that time, whereas S(t) gives the probability of surviving beyond time t. (t) represents the probability density function of the event occurrence, while S(t) represents the cumulative distribution function of the time until the event. )(t) represents the probability of survival up to time t, while S(t) gives the instantaneous rate of event occurrence at time t. O >(t) represents the cumulative probability of an event occurring up to time t, while S(t) represents the instantaneous rate of failure at t