The Standard and Poor 500 (S&P 500) is a weighted average of the stocks for 500 large companies in the United States. It is commonly used as a measure of the overall performance of the US stock market. Between January 1, 2009 and January 1, 2012, the S&P 500 increased for 423 of the 756 days that the stock market was open. We will investigate whether changes to the S&P 500 are independent from day to day. This is important, because if changes are not independent, we should be able to use the performance on the current day to help predict performance on the next day.
The Standard and Poor 500 (S&P 500) is a weighted average of the stocks for 500 large companies in the United States. It is commonly used as a measure of the overall performance of the US stock market. Between January 1, 2009 and January 1, 2012, the S&P 500 increased for 423 of the 756 days that the stock market was open. We will investigate whether changes to the S&P 500 are independent from day to day. This is important, because if changes are not independent, we should be able to use the performance on the current day to help predict performance on the next day.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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.3131
P(increases for two consecutive days) =
What is the probability that the S&P 500 Increases on a day, given that it increased the day before?
Round your answer to four decimal places.
.3128
P(increases on a day if increased the day before) =
Z Your answer is partially correct. Try again.
(c) Between January 1, 2009 and January 1, 2012 the S&P 500 increased on two consecutive market days 234 times out of a possible 755. Based on this information, what is the probability that
the S&P 500 increases for two consecutive days?
Round your answer to four decimal places.
.3099
P(increases for two consecutive days) =
What is the probability that the S&P 500 increases on a day, given that it increased the day before?
Round your answer to four decimal places.
3131
P(increases on a day if increased the day before) =
M Correct.
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.3131
P(increases for two consecutive days) =
What is the probability that the S&P 500 Increases on a day, given that it increased the day before?
Round your answer to four decimal places.
.3128
P(increases on a day if increased the day before) =
Z Your answer is partially correct. Try again.
(c) Between January 1, 2009 and January 1, 2012 the S&P 500 increased on two consecutive market days 234 times out of a possible 755. Based on this information, what is the probability that
the S&P 500 increases for two consecutive days?
Round your answer to four decimal places.
.3099
P(increases for two consecutive days) =
What is the probability that the S&P 500 increases on a day, given that it increased the day before?
Round your answer to four decimal places.
3131
P(increases on a day if increased the day before) =
M Correct.
:ON U
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Chapter P, Section 1, Exercise 041
Is the Stock Market Independent?
The Standard and Poor 500 (S&P 500) is a weighted average of the stocks for 500 large companies in the United States. It is commonly used as a measure of the overall performance of the US
stock market. Between January 1, 2009 and January 1, 2012, the S&P 500 increased for 423 of the 756 days that the stock market was open. We will investigate whether changes to the S&P 500
are independent from day to day. This is important, because if changes are not independent, we should be able to use the performance on the current day to help predict performance on the next
day.
M Correct.
(a) What is the probability that the S&P 500 increased on a randomly selected market day between January 1, 2009 and January 1, 2012?
Round your answer to four decimal places.
P(increase)
.5595
the absolute tolerance is +/-0.0005
SHOW SOLUTION
LINK TO TEXT
Z Your answer is partially correct. Try again.
(b) If we assume that daily changes to the S&P 500 are independent, what is the probability that the S&P 500 increases for two consecutive days?
Round your answer to four decimal places.
3131
OTE
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Transcribed Image Text:Lock, Statistics: Unlocking the Power of Data, 2e
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Chapter P, Section 1, Exercise 041
Is the Stock Market Independent?
The Standard and Poor 500 (S&P 500) is a weighted average of the stocks for 500 large companies in the United States. It is commonly used as a measure of the overall performance of the US
stock market. Between January 1, 2009 and January 1, 2012, the S&P 500 increased for 423 of the 756 days that the stock market was open. We will investigate whether changes to the S&P 500
are independent from day to day. This is important, because if changes are not independent, we should be able to use the performance on the current day to help predict performance on the next
day.
M Correct.
(a) What is the probability that the S&P 500 increased on a randomly selected market day between January 1, 2009 and January 1, 2012?
Round your answer to four decimal places.
P(increase)
.5595
the absolute tolerance is +/-0.0005
SHOW SOLUTION
LINK TO TEXT
Z Your answer is partially correct. Try again.
(b) If we assume that daily changes to the S&P 500 are independent, what is the probability that the S&P 500 increases for two consecutive days?
Round your answer to four decimal places.
3131
OTE
8.
étv
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