The mean number of hours of an American worker spends on computer is 3.1 hours per workday. Assume the standard deviation is 0.5 hours. Find the probability of the workers At least 5 hours on the computer At most 3.5 hours on the computer More than 5.5 hours on the computer
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 mean number of hours of an American worker spends on computer is 3.1 hours per workday. Assume the standard deviation is 0.5 hours. Find the probability of the workers
- At least 5 hours on the computer
- At most 3.5 hours on the computer
- More than 5.5 hours on the computer
- 5 hours on the computer
- 2 to 3 hours on the computer
- A mandatory competency test for high school sophomore has a
normal distribution with a mean of 400 and a standard deviation of 100. Top 5% of the students receive $500. What is the minimum score you would need to receive this award?
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