A cell biologist is investigating the one-dimensional diffusion of motor protein

Question

A cell biologist is investigating the one-dimensional diffusion of motor proteins across a thin microtubule (a protein filament). B analyzing diffusion over a time of 25s, the researcher obtained the following table of displacements:

Number of Particles

Approximate Displacement

12

-52

35

-25

50

0

35

25

12

52

a. What is the mean displacement of the particles?

b. What is the mean-square displacement of the particles?

c. What is the diffusion coefficient of the particles?

Number of Particles

Approximate Displacement

12

-52

35

-25

50

0

35

25

12

52

Explanation / Answer

Mean = 0

E(X2) =108646/144 = 754.4861

Variance = 754.4861-0 = 754.4861

Number of Particles Approximate Displacement product freq*x^2

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