The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.1 mm. Round values to 4 decimal places when possible. The mean of this distribution is The standard deviation is The probability that the round off error for a jumper's distance is exactly 3.8 is P(x = 3.8) =
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!
The round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.1 mm. Round values to 4 decimal places when possible.
The
The standard deviation is
The
The probability that the round off error for the distance that a long jumper has jumped is between 0 and 5.1 mm is P(1 < x < 4.6) =
The probability that the jump's round off error is greater than 2.42 is P(x > 2.42) =
P(x > 4.6 | x > 1.1) =
Find the 49th percentile
Find the maximum for the lower quartile.
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