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A sample of 400 restaurant customers was taken to find the probability that a certain group(man...

A sample of 400 restaurant customers was taken to find the probability that a certain group(man vs woman) would tip more than 10%. Of the 400 customers, 300 tipped more than 10%. There was a total of 220 women in the sample. Of the woman sampled, 160 tipped more than 10%. ||Let W be the event- woman, M be the event man, T be the event tips more than 10% and Tc be the event does not tip more than 10%. a) Show the joint probability table. b) What is the probability that a person is a woman and does not tip more than 10%? c) Given the person is a man, what is the probability that he will tip more than 10%? d) What is the probability that the person tips more than 10% given that the person is a woman?

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