The table below shows the distribution of test grades for 40 IB students at Magentadale School. Test grade 1 2 3 4 5 6 7 Frequency 3 14 1 a. A student is chosen at random. Find the probability b. The number of minutes that the 40 students spend preparing for the test was normally distributed with a mea that the student scored a 3 or less. of 165 minutes and a standard deviation of 15 minutes. Calculate the probability that a random student spent between 120 minutes and 150 minutes studying for the test.
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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