Exercise 3.4

[KeyaVibhakar]

Could you please explain, why we multiply diff (which is; the difference between the runner's speed and observer's speed) with the probability of a given runner's speed; to get the biased data?

`def ObservedPmf(pmf, speed, label=None):

new = pmf.Copy(label=label)
for val in new.Values():
    diff = abs(val - speed)
    new.Mult(val, diff)
new.Normalize()
return new

`

[AllenDowney]

Because the probability of observing any runner is proportional to the difference between their speed and mine.

On Wed, Mar 13, 2019, at 7:48 AM, KeyaVibhakar wrote:

Could you please explain, why we multiply diff (which is; the difference between the runner's speed and observer's speed) with the probability of a given runner's speed; to get the biased data?

`def ObservedPmf(pmf, speed, label=None):

new = pmf.Copy(label=label) for val in new.Values(): diff = abs(val - speed) new.Mult(val, diff) new.Normalize() return new `

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[KeyaVibhakar]

Thank you!