How i can get formula for median of geometric distribution with this probability mass function formula P_r=((1-alpha)alpha^{CW})/(1-alpha^{CW}) cdot a^{-r}

Chaim Ferguson 2022-10-17 Answered
Median from Probability distribution formula
How i can get formula for median of geometric distribution with this probability mass function formula P r = ( 1 α ) α C W 1 α C W . α r
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Answers (1)

Shyla Maldonado
Answered 2022-10-18 Author has 15 answers
Step 1
Utilize the following:
Find m such that
(1) P ( X m ) 1 2
(2) P ( X m ) 1 2
The median will be any such m. This can be calculated using the PMF.
Step 2
According to Truncated Distributions
The median of a truncated distribution will be F 1 ( F ( a ) + F ( b ) 2 )
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