The engineers of a certain company are asked to answer the following survey with and N selection: A. Is it necessary to modernize the laboratory equipment? 3. Is it necessary to build a sport and wellness facility for the company? List the possible sample space for this survey for a given engineer. Draw the tree diagram. Suppose that out of 40 engineers, 24 answers (Y.Y), 8 answers (Y.N), 6 answers (N.Y), and 2

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ANSWER D AND E ONLY
The engineers of a certain company are asked to answer the following survey with Y and N selection:
A. Is it necessary to modernize the laboratory equipment?
B. Is it necessary to build a sport and wellness facility for the company?
List the possible sample space for this survey for a given engineer. Draw the tree diagram.
b. Suppose that out of 40 engineers, 24 answers (Y,Y), 8 answers (Y,N), 6 answers (N,Y), and 2
answers (N,N). Find P (A), P(B), P(C), and P(D), if A is the event that the answer is (Y,Y), B is the
event that the answer is (N,Y), Cis the event that the answer is (N,Y), and D is the event that the
answer is (N,N).
c. What is the probability that, randomly selecting an engineer, he/she would answer Y to the
a.
question concerning modernizing the laboratory equipment? Let M be the event of modernizing
the laboratory equipment.
d. What is the probability that, randomly selecting an engineer, he/she would answer Y to the
question concerning the necessity to build a sport and wellness facility for the company? Let B
be the event of building a sport and wellness facility for the company.
e. What is the probability that, randomly selecting an engineer, he/she would answer Y to the,
question concerning the modernizing the laboratory equipment or necessity to build a sport and
wellness facility for the company? Draw a Venn diagram.
Transcribed Image Text:The engineers of a certain company are asked to answer the following survey with Y and N selection: A. Is it necessary to modernize the laboratory equipment? B. Is it necessary to build a sport and wellness facility for the company? List the possible sample space for this survey for a given engineer. Draw the tree diagram. b. Suppose that out of 40 engineers, 24 answers (Y,Y), 8 answers (Y,N), 6 answers (N,Y), and 2 answers (N,N). Find P (A), P(B), P(C), and P(D), if A is the event that the answer is (Y,Y), B is the event that the answer is (N,Y), Cis the event that the answer is (N,Y), and D is the event that the answer is (N,N). c. What is the probability that, randomly selecting an engineer, he/she would answer Y to the a. question concerning modernizing the laboratory equipment? Let M be the event of modernizing the laboratory equipment. d. What is the probability that, randomly selecting an engineer, he/she would answer Y to the question concerning the necessity to build a sport and wellness facility for the company? Let B be the event of building a sport and wellness facility for the company. e. What is the probability that, randomly selecting an engineer, he/she would answer Y to the, question concerning the modernizing the laboratory equipment or necessity to build a sport and wellness facility for the company? Draw a Venn diagram.
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