An unwary explorer happens upon a cave with an oracle. The oracle says she will let the explorer pass if he can solve five riddles within a 15-minute time limit. Suppose the explorer can solve riddles at an average rate of 18 per hour, and the number of riddles he can solve over time follows a Poisson distribution. What is the probability the explorer will complete the oracle's challenge and gain passage?

Formulate the indicated conclusion in nontechnical terms. be sure to address the original claim. the foundation chair for a hospital claims that the mean number of filled overnight beds is over 523, and she is therefore justified starting a funding campaign to add a wing to the hospital. assuming that a hypothesis test has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.