A wide-brand theatre company tried to be alive during the 6 month lockdown by organizing online events via their youtube channel. The youtube database system indicates that average lentgh of time spent by the audience for watching their plays is 100 minutes and that is normally distributed random variable having the standard deviation of 30 minutes. (a) minutes? What is the probability that a randomly selected audience watched the play at most 60 (ь) What is the probability that a randomly selected audience watched the play at least 20 and at most 60 minutes ?
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!
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