4. A total of 1000 type 2 diabetes patients are registered at a community diabetes management center,

Question:

4. A total of 1000 type 2 diabetes patients are registered at a community diabetes management center, and the age and sex composition are shown in the Table 3.3.

Suppose that 100 of these patients develop diabetic nephropathy (70 men and 30 women).

Suppose one patient is randomly selected. Answer the following questions:

(a) What is the probability that this patient is less than 40 years old?

(b) What is the probability that this patient is a man and less than 40 years old?

(c) Given that this patient is a woman, what is the probability that she is less than 60 years old?

(d) What is the probability that this patient is a man and has diabetic nephropathy?

(e) Given that this patient is a woman, what is the probability that she has diabetic nephropathy?

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