The following table details visits to emergency rooms at four hospitals in San F

Question

The following table details visits to emergency rooms at four hospitals in San Francisco. People may leave without being seen by a doctor, and those visits are denoted LWBS. The remaining visits are serviced by the emergency rooms, and the visitor may or may not be admitted for a stay in the hospital. Let A denote the event that the visit is to Hospital Let B denote the event that a visit results in admittance to any hospital. Determine the number of visits in each of the following events. Determine P(A U B) Are events A and B independent? Determine P(B |A)

Explanation / Answer

1.

a)

N(A n B) = 1277 [ANSWER]

b)

N(A U B') = 953+17814+1277 = 20044 [ANSWER]

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2.

P(A U B) = (4485+195+3820)/17814 = 0.477152801 [ANSWER]

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3.

As

P(A) = 3820/17814 = 0.214438082
P(A|B) = 1277/4485 = 0.284726867

Therefore, P(A) =/= P(A|B). Hence, THEY ARE NOT INDEPENDENT.

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4.

P(B|A) = 1277/3820 = 0.334293194 [ANSWER]

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