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Probability Distribution Function It can be written as F(x) = P (X ? x). Furthermore, if there is a semi-closed interval given by (a, b then the probability distribution function is given by the formula P(a < X ? b) = F(b) - F(a). The probability distribution function of a random variable always lies between 0 and 1.

The variance of a continuous uniform distribution is Var(X)=(b?a)212 V a r ( X ) = ( b ? a ) 2 12 , and the standard deviation is ?=?(b?a)212=b?a2?3 ? = ( b ? a ) 2 12 = b ? a 2 3 .

If you're going to be taking the AP Statistics exam, you're in luck! During the test, you'll have access to a formula sheet that has many useful equations.

Probability Distribution Function It can be written as F(x) = P (X ? x). Furthermore, if there is a semi-closed interval given by (a, b then the probability distribution function is given by the formula P(a < X ? b) = F(b) - F(a). The probability distribution function of a random variable always lies between 0 and 1.

You're in luck if you're going to take the AP Statistics test! You will have access to a formula sheet with numerous important equations during the test.

The function pX(x)= P(X=x) for each x within the range of X is called the probability distribution of X. It is often called the probability mass function for the discrete random variable X.