The time a student sleeps per night has a distribution with mean 5.9 hours and a standard deviation of 0.4 hours. Find the probability that average sleeping time for a randomly selected sample of 48 students is more than 6 hours per night. Answer: (round to 4 decimal places)
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!
The time a student sleeps per night has a distribution with mean 5.9 hours and a standard deviation of 0.4 hours. Find the
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
