Each month a brokerage house studies various companies and rates each company's stock as being either "low risk" or "moderate to high risk." In a recent report, the brokerage house summarized its findings about 38 aerospace companies and 34 food retailers in the following table: Company Type Aerospace company Pood retailer Low Risk Moderate to High Risk 23 18 15 16 If we randomly select one of the total of 72 companies (a) Find the probability that the company's stock is moderate to high risk given that the firm is an aerospace company. (Round your answer to 4 decimal places.) Probability (b) Find the probability that the company's stock is moderate to high risk given that the firm is a food retailer. (Round your answer to 4 decimal places.) Probability (c) Determine if the company type is independent of the level of risk of the firm's stock. (Round your answers to 4 decimal places.) Dependent. For two events to be independent, P(Aero | Low)=P(Aero). P(Aero | Low) = but the P(Aero) = They are not equal.

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Each month a brokerage house studies various companies and rates each company's stock as being either "low risk" or "moderate to
high risk." In a recent report, the brokerage house summarized its findings about 38 aerospace companies and 34 food retailers in the
following table:
Company Type
Aerospace company
Pood retailer
Low Risk Moderate to High Risk
23
18
15
16
If we randomly select one of the total of 72 companies
(a) Find the probability that the company's stock is moderate to high risk given that the firm is an aerospace company. (Round your
answer to 4 decimal places.)
Probability
(b) Find the probability that the company's stock is moderate to high risk given that the firm is a food retailer. (Round your answer to 4
decimal places.)
Probability
(c) Determine if the company type is independent of the level of risk of the firm's stock. (Round your answers to 4 decimal places.)
Dependent. For two events to be independent, P(Aero | Low) = P(Aero). P(Aero | Low) =
but the P(Aero) =
They are not equal.
Transcribed Image Text:Each month a brokerage house studies various companies and rates each company's stock as being either "low risk" or "moderate to high risk." In a recent report, the brokerage house summarized its findings about 38 aerospace companies and 34 food retailers in the following table: Company Type Aerospace company Pood retailer Low Risk Moderate to High Risk 23 18 15 16 If we randomly select one of the total of 72 companies (a) Find the probability that the company's stock is moderate to high risk given that the firm is an aerospace company. (Round your answer to 4 decimal places.) Probability (b) Find the probability that the company's stock is moderate to high risk given that the firm is a food retailer. (Round your answer to 4 decimal places.) Probability (c) Determine if the company type is independent of the level of risk of the firm's stock. (Round your answers to 4 decimal places.) Dependent. For two events to be independent, P(Aero | Low) = P(Aero). P(Aero | Low) = but the P(Aero) = They are not equal.
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