Suppose you have historical data that says the probability a stock experiences a large price movement of more than 3% on a random day is 0.4. When a stock experiences a large price movement, that price movement is negative 60% of the time. If you select 10 daily stock price movements completely at random, what is the probability that exactly three of them had large price movements and that all three were negative? Assume one stock's price movement has no effect on the price movement of any other stock. Please provide your answer to the nearest 0.1%.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose you have historical data that says the
probability a stock experiences a large price
movement of more than 3% on a random day
is 0.4. When a stock experiences a large price
movement, that price movement is negative
60% of the time. If you select 10 daily stock
price movements completely at random, what
is the probability that exactly three of them
had large price movements and that all three
were negative? Assume one stock's price
movement has no effect on the price
movement of any other stock. Please provide
your answer to the nearest 0.1%.
Transcribed Image Text:Suppose you have historical data that says the probability a stock experiences a large price movement of more than 3% on a random day is 0.4. When a stock experiences a large price movement, that price movement is negative 60% of the time. If you select 10 daily stock price movements completely at random, what is the probability that exactly three of them had large price movements and that all three were negative? Assume one stock's price movement has no effect on the price movement of any other stock. Please provide your answer to the nearest 0.1%.
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