Median from Probability distribution formulaHow 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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Median from Probability distribution formulaHow 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

Shyla Maldonado · Accepted Answer

Step 1Utilize 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 2According to Truncated DistributionsThe median of a truncated distribution will be             F              −        1                            (                            F        (        a        )        +        F        (        b        )            2                      )

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}

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