In a study, the various stages of sleep for a large group of people were monitor

Question

In a study, the various stages of sleep for a large group of people were monitored in 30-second intervals, or "epochs." For each epoch, sleep stage was categorized as Wake, REM, or Non-REM. The accompanying table provides a summary of the results. Each cell of the table gives the number of epochs that occurred when transitioning from the previous sleep stage to the current sleep stage. Complete parts a through below. a. Given that the previous sleep stage for the epoch was the Non-REM state, what is the probability that the current sleep stage is REM? The probability is (Type an integer or a decimal. Round to three

Explanation / Answer

a) P(current stage REM | previous stage Non-REM) = P(current stage REM and previous stage Non-REM) / P(previous stage Non-REM)

                                                   = (387/total) / (33772/total)

                                                   = 387 / 33772

                                                   = 0.011

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