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April 19, 2015

Posted by **Fatima** on Wednesday, August 22, 2012 at 3:01pm.

Abby Garland is parked at a mile marker on an east -west country road.She decides to toss a fair coin 10 times ,each time driving 1 mile east if it lands heads up and 1 mile west if it lands up tails up. The term random walk applies to this process even though Abby drives rather than walks. it is a simplifiedmodel ofBrownian motion.Find the probability that Abby's walk will end as described.

A 10 miles east of start.( answer 1/1024)

B 6 miles east of start

C.6 miles west of start (answer 45/1024)

D.5 miles west of the start

E 2 miles east of start(answr210/1024)

F.at least 2 miles east of the start

G.at least 2 miles from the start (772/10240)

H. Exactly at the start

Please give me a detail explanation of how to start the problem.

- algebra -
**drwls**, Wednesday, August 22, 2012 at 4:00pmCompute the following probabilities.

A. 10 heads and zero tails

P = (1/2)^10 = 1/1024

B. 8 heads and 2 tails

C. 2 heads and 8 tails

P = (1/2)^10*10!/(8!*2!] = 45/1024

D. zero (not possible; there must be ab even number of place changes)

E. 6 tails and 4 heads (1/2)^10*10!/7!*3!)= (1/1024)*8[10!/(3!*7!)]=120/1024

F. 6,7,8, 9 or 10 heads

G. anything but 5 heads and 5 tails

Your denominator should be 1024, not 10240

H. 5 heads and 5 tails

P = (1/2)^5*(1/2)^5*[10!/5!]^2

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