The average time spent sleeping (in hours) for a group of medical residents at a hospital can be approximated by a normal distribution, as shown in the graph to the right. Answer parts (a) and (b) below. Sleeping Times of Medical Residents Click to view page 1 of the table Click to view page 2 of the table p=5.6 hours o=12 hour A 10 Hours (a) What is the shortest time spent sleeping that would still place a resident in the top 5% of sleeping times? Residents who get at least hours of sleep are in the top 5% of sleeping times. (Round to two decimal places as needed.) (b) Between what two values does the middle 50% of the sleep times lie? The middle 50% of sleep times lies between (Round to two decimal places as needed) hours on the low end and hours on the high end.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 5 images
