assume that x is uniformly distributed on [0,3]. using the central limit theorem, find the shortest interval (around hn) that has 95% probability of containing the true value of h. (such an interval is known as 95% confidence interval for h).

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09-12-2022
Mathematics

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assume that x is uniformly distributed on [0,3]. using the central limit theorem, find the shortest interval (around hn) that has 95% probability of containing the true value of h. (such an interval is known as 95% confidence interval for h).

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shomerajeshwari90 shomerajeshwari90 · Answer 1 · 2022-12-18T01:11:54-05:00

The probability density function (pdf) for the uniform distribution has the basic formula: f(x) = 1/ (B-A) for A x B.

A continuous probability distribution, the uniform distribution is concerned with equally likely outcomes. It is referred to as having a rectangular distribution on the interval [a,b] or having a uniform distribution for the continuous random variable X. Above is a representation of the probability density function of a continuous uniform distribution. The probability of drawing a heart, club, diamond, or spade is equally likely; hence, the area under the curve is 1, which makes sense given that the total of all probabilities in a probability distribution is 1.

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