Answer to Question #308322 in Statistics and Probability for Ade

Question

The probabilities that a surgeon operates on 3 4 5 6 or 7 patents and any one day are 0.15 0.20 0.25 0.20 and 0.20 respectively

Answer 1

we define the following

mean= ( (3*0.15) +(4*0.20) +(5*0.25)+(6*0.20)+(7*0.20) ) = 5.1

variance= ( (3² * 0.15) + ( 4² * 0.20) + ( 5² * 0.25) + (6² * 0.20) + (7² * 0.20) ) - (5.1²)

=27.8 - 26.01 = 1.79

standard deviation = (variance)^1/2 = (1.79)^1/2 = 1.337908816