A data analyst attempting to predict a tech company's earnings in the year of 2024 believes that the tech's business is quite sensitive to the level of interest rates. He believes that, if the average interest rates in the year of 2024 are more than 1% higher than this year, the probability of significant earnings growth is 0.1. If the average interest rates in the year 2024 are more than 1% lower than this year, the probability of significant earnings growth is estimated to be 0.8. If the interest rates for year 2024 are within 1% of this year's rates, the probability for significant earnings growth is at 0.5. The data analyst estimates that the probability is 0.25 that the average interest rates in the year 2024 will be more than 1% higher than this year and 0.15 that they will be more than 1% lower than this year. If the company exhibits significant growth, what is the probability that the average interest rates will have been more than 1% higher than in the current year?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 3SE: The Oxford Dictionary defines the word nominal asa value that is “stated or expressed but...
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A data analyst attempting to predict a tech company's earnings in the year of 2024 believes that the tech's business is quite sensitive to
the level of interest rates. He believes that, if the average interest rates in the year of 2024 are more than 1% higher than this year, the
probability of significant earnings growth is 0.1. If the average interest rates in the year 2024 are more than 1% lower than this year, the
probability of significant earnings growth is estimated to be 0.8. If the interest rates for year 2024 are within 1% of this year's rates, the
probability for significant earnings growth is at 0.5. The data analyst estimates that the probability is 0.25 that the average interest rates in
the year 2024 will be more than 1% higher than this year and 0.15 that they will be more than 1% lower than this year. If the company
exhibits significant growth, what is the probability that the average interest rates will have been more than 1% higher than in the current
year?
Transcribed Image Text:A data analyst attempting to predict a tech company's earnings in the year of 2024 believes that the tech's business is quite sensitive to the level of interest rates. He believes that, if the average interest rates in the year of 2024 are more than 1% higher than this year, the probability of significant earnings growth is 0.1. If the average interest rates in the year 2024 are more than 1% lower than this year, the probability of significant earnings growth is estimated to be 0.8. If the interest rates for year 2024 are within 1% of this year's rates, the probability for significant earnings growth is at 0.5. The data analyst estimates that the probability is 0.25 that the average interest rates in the year 2024 will be more than 1% higher than this year and 0.15 that they will be more than 1% lower than this year. If the company exhibits significant growth, what is the probability that the average interest rates will have been more than 1% higher than in the current year?
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