A construction laborer is asked to make stirrups for their project and notices that the average length of rebars he needs to make is about 30cm. He concludes that the rebars have a standard deviation of 2cm. Assuming that the lengths are normally distributed, what percentage of the steel bars are between 29.30 and 33.50 cm?
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!
A construction laborer is asked to make stirrups for their project and notices that the average length of rebars he needs to make is about 30cm. He concludes that the rebars have a standard deviation of 2cm. Assuming that the lengths are
Step by step
Solved in 3 steps
