Another survey examines customers’ preferences in having asunroof in the car Sun

Question

Another survey examines customers’ preferences in having asunroof in the car

Sunroof (S)

NoSunroof (S’)

Woman (W)

800

650

Man (M)

1500

300

a) Compute the Marginal Probabilities and the JointProbabilities.

b) Compute: P(W), P(S|M), P(S’|W), P(M and S).

c) Is there any relationship between sex (woman or man) andwanting to have a sunroof?

Marginal Probabilities:

P(W) =

P(M) =

P(S) =

P(S’) =

Joint Probability:

P(W and S) =

P(W and S’) =

P(M and S) =

P(M and S’) =

P(W) =

P(S|M) =

P(S’|W) =

P(M and S) =

Sunroof (S)

NoSunroof (S’)

Woman (W)

800

650

Man (M)

1500

300

Explanation / Answer

a) Compute the Marginal Probabilities and the Joint Probabilities.

Marginal Joint

P(S) = 2300/3250 = 71% P(S and W) = 800/3250 = 25%

P(S

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