Question 10 The following contingency table summarizes the classification of students by weight and gender: Male (G1) Female (G2) Total 75 Obese (W1) Normal (W2) Underweight (W3) Total 38 23 80 54 45 a. For a randomly selected student, describe the following in words: 01 lo
Question 10 The following contingency table summarizes the classification of students by weight and gender: Male (G1) Female (G2) Total 75 Obese (W1) Normal (W2) Underweight (W3) Total 38 23 80 54 45 a. For a randomly selected student, describe the following in words: 01 lo
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
Transcribed Image Text:Question 10
The following contingency table summarizes the classification of students by weight and gender:
Male (G1)
Female (G2)
Total
75
Obese (W1)
Normal (W2)
Underweight (W3)
Total
o P(G1) is Select an answer
Select an answer
38
23
Select an answer
Select an answer
a. For a randomly selected student, describe the following in words:
o G1 is Select an answer
Select an answer
an event in which a randomly selected student is Male
an event in which a randomly selected student is Obese
an event in which a randomly selected student is Underweight
an event in which a randomly selected student is Female
an event in which a randomly selected student is Normal
the probability that a randomly selected student is Obese
the probability that a randomly selected student is Male
80
the probability that a randomly selected student is Underweight
the probability that a randomly selected student is Normal
the probability that a randomly selected student is Female
b. Find the following probabilities: (Round the answers to 4 decimal places)
i. P(W1) =
ii. P(G1) =
iii. P(W2 and G1) =
iv. P(W2 or G1) :
v. P(W2 | G1) =
c. Answer the following questions:
i. Are W2 and G2 mutually exclusive? Select an answer
Select an answer
mutually exclusive
not mutually exclusive
54
45
Because the probability of one event depends on whether the other occured or not
Because the two events can not occur at the same time
dependent
independent
Select an answer
Select an answer
Because the two events can occur at the same time
Because the probability of one event doesn't depend on whether the other occured or not
ii. Are W2 and G2 independent?
Select an answer
Select an answer
mutually exclusive
not mutually exclusive
Select an answer ✓ Explain.
Select an answer
✓ Explain.
Select an answer
Select an answer
Because the two events can not occur at the same time
Because the probability of one event doesn't depend on whether the other occured or not
Because the probability of one event depends on whether the other occured or not
Because the two events can occur at the same time
iii. Are W3 and W2 mutually exclusive?
iv. Are W3 and W2 independent? Select an answer Explain.
Select an answer
independent
dependent
Select an answer
Select an answer
Because the probability of one event doesn't depend on whether the other occured or not
Because the two events can not occur at the same time
Because the probability of one event depends on whether the other occured or not
Because the two events can occur at the same time
✓ Explain.
Because the two events can not occur at the same time
Because the probability of one event doesn't depend on whether the other occured or not
Because the probability of one event depends on whether the other occured or not
Because the two events can occur at the same time
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