Problem 1 Suppose a population has N people. Among them, Ni are males, and No are...

  

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Problem 1 Suppose a population has N people. Among them, Ni are males, and No are females. Among the males, Ti are taller than 6 feet. Among the females, To are taller than 6 feet. Suppose we randomly sample a person from the population. Let A be the event that the person is male. Let B be the event that the person is taller than 6 feet. Using the numbers N, N1, No, T1, To, calculate or prove the following: (4) Show that P(AN B) P(B) P(A)P(B|A) P(A|B) P(A)P(B|A) + P(A^)P(B|A^)* Problem 1 Suppose a population has N people. Among them, Ni are males, and No are females. Among the males, Ti are taller than 6 feet. Among the females, To are taller than 6 feet. Suppose we randomly sample a person from the population. Let A be the event that the person is male. Let B be the event that the person is taller than 6 feet. Using the numbers N, N1, No, T1, To, calculate or prove the following: (4) Show that P(AN B) P(B) P(A)P(B|A) P(A|B) P(A)P(B|A) + P(A^)P(B|A^)*