# what are the mean, variance, pdf, and cdf of the following distributions NormalExponentialUniformt-distribution w v degrees of freedomchi-squared distribution with v degrees of freedomF-distribution wit v1 and v2 degrees of freedombernoullibinomialpoisson

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what are the mean, variance, pdf, and cdf of the following distributions

•  Normal
• Exponential
• Uniform
• t-distribution w v degrees of freedom
• chi-squared distribution with v degrees of freedom
• F-distribution wit v1 and v2 degrees of freedom
• bernoulli
• binomial
• poisson
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Step 1

The mean, variance, pdf and CDF of the following distributions are as given below:

Step 2

a.

Normal distribution:

Let x be a random variable that follows normal distribution then its PDF, CDF, mean and variance are as given below: help_outlineImage TranscriptioncloseMean E(x)= Variacne V(x)o Pdf ((x-u) 1 f(x)2 0,0therwise cdf (1-u7 1 dx F(x)= /2 πσ fullscreen
Step 3

b.

Exponential distribution:

Let x be a random variable that follows exponential distribution then... help_outlineImage TranscriptioncloseMean: 1 E(x) Variacne 1 (x)4 pdf re x 20 f(x, A)= [0,x<0 cdf (1-e,x20 (0,x<0 F(x) fullscreen

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