A hospital administration did a survey of patients regarding satisfaction with c

Question

A hospital administration did a survey of patients regarding satisfaction with care and type of surgery Results below:

Assume the sample represents the entire population of patients.

1. Find the probability that a patient selected at random is Satisfied.

2. Find the probabality that a patient selected at random is satisfied and had knee surgery.

3. Find the probability that a patient selected at random is neutral given that they had hip surgery.

               Total      Not Satisfied     Netural        Satisfied

Heart        21             7                      12                   2   

HIP           63             15                    38                   10

KNEE        206           58                    88                   60

Explanation / Answer

the probability that a patient selected at random is Satisfied is ( 2+10+60 = 72) / (21+63+206 = 290) is 72/290

the probabality that a patient selected at random is satisfied and had knee surgery is 60 / 290 = 6/29.

the probability that a patient selected at random is neutral given that they had hip is 38 / 138.

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