Use the directions and table to answer Question 13. Please make answer understandable

MATLAB: An Introduction with Applications
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Use the directions and table to answer Question 13. Please make answer understandable. 

A total of 50 students were interviewed.
Let A be the event that a student prefers Coke over Pepsi.
Let B be the event that a student likes running.
The probability that a student likes running is 0.7
The probability that a student likes Coke more than Pepsi is 0.4
•
The probability that a student likes both Coke and running is 0.14
Use this information to fill in the Venn Diagram and the Two-Way Table and to answer the probability
questions below.
Be sure to give probability as a decimal to two decimal places.
Question 1
Likes running
Does not like running
Total
Prefers Coke
0.14
0.26
0.40
0.56
0.04
Prefers Pepsi
0.60
0.70
0.30
Total
1.00
Fill in the two way table using the information above. Be sure to give probability as a decimal to two decimal
Transcribed Image Text:A total of 50 students were interviewed. Let A be the event that a student prefers Coke over Pepsi. Let B be the event that a student likes running. The probability that a student likes running is 0.7 The probability that a student likes Coke more than Pepsi is 0.4 • The probability that a student likes both Coke and running is 0.14 Use this information to fill in the Venn Diagram and the Two-Way Table and to answer the probability questions below. Be sure to give probability as a decimal to two decimal places. Question 1 Likes running Does not like running Total Prefers Coke 0.14 0.26 0.40 0.56 0.04 Prefers Pepsi 0.60 0.70 0.30 Total 1.00 Fill in the two way table using the information above. Be sure to give probability as a decimal to two decimal
Question 13
Are the events "student prefers Coke" and "student likes running" independent events? Use conditional
probability and the data in the table to explain your answer.
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Transcribed Image Text:Question 13 Are the events "student prefers Coke" and "student likes running" independent events? Use conditional probability and the data in the table to explain your answer. Edit View Insert Format Tools Table 12pt Paragraph B I U Av Qv tu ✓✓✓ ; P 0 words </> ✓ نا لكم ca Fil
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