Image text transcribed for accessibility: Suppose the number of babiesbom during ai^-houfr shift at a hospital's matemity wing follows a Poisson distribution with a mean of three an hour. Find the probability that more than four babies are bom during a particular 1-hour period in this matemity wing? Find the probability that exactly^4 babies^re bom during a particulai^hour |?eriod in this matemity wing? Some people believe that the presence of full moon increases the number of births that take place. Suppose during the presence of a full moon, Regional Hospital experienced eight consecutive hours with more than four births. Is this believe supported by that fact? Why? (What is the probability of observing eight consecutre hours with more than four births each.) A group of researches studied the impact of cooking on the size of indoor air particles. The decay rate for the fme particles produced from oven cooking or toasting was recorded on six randomly selected days. The mean of this sample was 1.073 and its standard deviation 0.2316 mu m/hour. Find a 95% confidence interval for the true average decay rate of fme particles produced from oven cooking or toasting. What must be true about the distribution of the population of decay rates for the inference to be valid? Suppose that we want to estimate the average decay rate cf fme particles produced from oven cooking or toasting to within 0.04 with 95% confidence. How large a sample should be selected? The serum cholesterol level X in 14-year-old boys has approximately a normal distribution with mean 170 and standard deviation 30. " Find the probability that the serum cholesterol level of a randomly chosen 14-year-old boy exceeds 230. In a middle school there are 300 14-year-old boys. Find the probability that at least 10 boys have a serum cholesterol level that exceeds 230. What is the cholesterol level of 14-year-old boys above which there is 10 percent of this population?