American adults spend an average of 11 (standard deviation of 2.5 hours) hours per day watching, reading, listening to or simply interacting with media, according to a new study by market-research group Nielsen. A US adult is randomly selected, what is the probability that: (a) The person spends less than 16 hours? (b) The person spends more than 6 hours? (c) The person spends between 4 hours and 15 hours?
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!
American adults spend an average of 11 (standard deviation of 2.5 hours) hours per day watching, reading, listening to or simply interacting with media, according to a new study by market-research group Nielsen. A US adult is randomly selected, what is the probability that:
(a) The person spends less than 16 hours?
(b) The person spends more than 6 hours?
(c) The person spends between 4 hours and 15 hours?
(d) The person spends less than 3 or more than 15 hours?
(e) The person spends exactly 10 hours?
(f) People in the top 2.5% of the distribution of time spent interacting with social media are considered addicted to the internet. What is the minimum amount of time a person can spend online in order to be consider addicted to the internet?
(g) In a certain company, employees who spend more than 5% of the time on non-company-related internet activities receive warnings, which could affect their year-end bonuses. What is the most amount of time an employee can spend on non-company-related internet activities and not receive a warning?
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