A simplified model of the movement of the price of a stock supposes that on each day the stock’s price either moves up 1 unit with probability 0.9 or moves down 1 unit with probability 0.1. The changes on different days are assumed to be independent. a)  What is the probability that after four days the stock will be at its original price? b)  What is the probability that after five days the stock’s price will have decreased by 1 unit? c) Given that the stock is at its original price after two days, what is the probability it will be below its original price after five days?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 23E
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Urgentt!! A simplified model of the movement of the price of a stock supposes that on each day the stock’s price either moves up 1 unit with probability 0.9 or moves down 1 unit with probability 0.1. The changes on different days are assumed to be independent.

a)  What is the probability that after four days the stock will be at its original price?

b)  What is the probability that after five days the stock’s price will have decreased by 1 unit?

c) Given that the stock is at its original price after two days, what is the probability it will be below its original price after five days?

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