Suppose a car has a mean time between eruptions of 79 minutes . Let the interval of time between the eruptions be normally distributed with standard deviation of 22 minutes . If the population mean is less than 89 minutes, then the prob that the sample mean of the time between eruptions Is greater than 89 minutes ----- because the variability of the sample mean ----- as the sa
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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Suppose a car has a
If the population mean is less than 89 minutes, then the prob that the sample mean of the time between eruptions Is greater than 89 minutes ----- because the variability of the sample mean ----- as the
Q2 what effect does increasing the sample size have on the probability in case of Normal distribution
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