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 28 aerospace companies and 18 food retailers in the following table: Company Type Aerospace company Food retailer Low Risk Moderate to High Risk 7 15 Probability 21 3 If we randomly select one of the total of 46 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.) (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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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Hi
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 28 aerospace companies and 18 food retailers in the
following table:
Company Type
Aerospace company
Food retailer
Probability
If we randomly select one of the total of 46 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.)
--
(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) -
!
←
Low Risk Moderate to High Risk
21
3
Q
2
N
W
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15
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▷
$
4
D
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5
but the P(Aero) -
F
< Prev
G Search or type URL
MacBook Pro
T
V
3 of 18
6
G
⠀⠀
Y
They are not equal
&
BO
7
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8
+
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(
9
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N M
Transcribed Image Text:tab shift 3 801.58.53 esc caps lock Hi 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 28 aerospace companies and 18 food retailers in the following table: Company Type Aerospace company Food retailer Probability If we randomly select one of the total of 46 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.) -- (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) - ! ← Low Risk Moderate to High Risk 21 3 Q 2 N W S 15 #3 с X E ▷ $ 4 D R C % 5 but the P(Aero) - F < Prev G Search or type URL MacBook Pro T V 3 of 18 6 G ⠀⠀ Y They are not equal & BO 7 Next > H U * 00 8 + J ( 9 K N M
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