Chb. Traveling between University of Santo Tomas and Rizal Park, Manila via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a giver abus transported passengers 40 times. What is the probability that the average transport time was greater than 30 minutes? Assume the mean time is measured to the earest minute "
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!
Given:
Calculate the corresponding z score as follows:
Calculate the probability that the average time is greater than 30 is,
By using the standard normal table,
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