Part II. A medical clinic has collected the following data on patient category and health state of 300 patients. Women patient category Men Children health state Severe 20 30 25 Non-severe 100 75 50 One of these patients is selected at random. Let W= the patient is a woman; M = the patient is a man; C = the patient is a child; S= the patient's health state is severe; and N= the patient's health state is non-severe. 1. Find P(SW). Are S and W mutually exclusive? Why" 2. Find P(NU C).. 3. Find P(WIN). Are W and N independent? Why? (

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