SOLUTION: If 5 patients in a hospital are to undergo surgery in which the survival rate is 50%, what is the probability that---all will survive? three will survive? more than half will sur

Question 245511: If 5 patients in a hospital are to undergo surgery in which the survival rate is 50%, what is the probability that---all will survive? three will survive?
more than half will survive?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let s=survivor and d=death
s=.5, d=.5
s^5=.5^5=.03125 all 5 survive.
.
nCr*s^3d^2
=5C3*.5^3.5^2
=10*.125*.25
=.3125 Three survive
.
nCr*s^4d
5*.0625*.5
=.15625 four survive.
.03125+.15625+.3125
=.5 more than 1/2 survive.
.
Ed
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