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 1. 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. A B. and A B Determine P (A B) Are events A and B independent? Determine P(B A)

Explanation / Answer

1)Let, A={Visit to hospital 1}

B={Visit results in admittance}

(a)Then, AB=1277

AB’=(195+3820)=4015

2.P(AB)=P(A)+P(B)-P(AB)

=(5292/23252)+(4485/23252)-(1277/23252)

=0.36

3.No, the events A and B are not independent.

P(AB)=1277/23252=0.05

Is not equal to P(A)*P(B)=0.04

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