Question: The normal distribution, also known as the Gaussian distribution, was discovered by Carl Friedrich Gauss in 1809. Gauss was trying to create a probability distribution

The normal distribution, also known as the Gaussian distribution, was discovered by Carl Friedrich Gauss in 1809. Gauss was trying to create a probability distribution for astronomical errors - errors that were made by astronomers while observing a phenomena such as distances in space.For example, Gauss found that an astronomer trying to estimate the distance between Earth and Uranus always makes an error. Let's suppose this error is normally distributed, with = 0 km and ? = 1,000 km.

Normal Distribution What is the probability that the astronomer underestimates or overestimates the distance by more than 1,000 km? 05% O 32% O 68%

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