Here's a hypothetical problem: assume that mean diameter of a tennis ball is 6.7 cm. Assume that the diameter is normally distributed with a standard deviation of 0.1 cm (I may have picked up a weird value but that's not the point). Now say I buy a billion tennis balls. What is the expected diameter of the largest ball? What's the expected diameter of the smallest ball?
What is the maximum expected value in a selection?
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probability
probability-theory
probability-distributions