A certain make of car comes with either an automatic or a manual transmission and in one of three styles: convertible, sedan, or SUV. The following table shows the probability for each possible style and transmission.Convertible Sedan SUVAutomatic 0.32 0.27 0.21 Manual 0.08 0.05 0.07(a) Find the probability that a car is an automatic. (b) Find the probability that a car is an automaticgiven that it is an SUV. (c) Are “automatic” and “SUV” independent? Explain. (d) Find the probability that a car is a convertiblegiven that it is a manual. (e) Are “convertible” and “manual” independent? Explain.

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