Work this problem involving the drawing of two balls from a box of colored balls. Assume the box contains 9 balls: 3 red, 2 blue, and 4 yellow. A ball is drawn and it's color is noted.If the ball is yellow, it is replaced, otherwise it is not. A second ball is then drawn and it's color is noted. - What is the probability that the first ball was yellow, given that the second was red?
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!
Work this problem involving the drawing of two balls from a box of colored balls. Assume the box contains 9 balls: 3 red, 2 blue, and 4 yellow. A ball is drawn and it's color is noted.If the ball is yellow, it is replaced, otherwise it is not. A second ball is then drawn and it's color is noted.
- What is the
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