SOLUTION: General Hospital has noted that they admit an average of 8 patients per hour. a.What is the probability that during the next hour less then 3 patients will be admitted? b.What is

Question 1197549: General Hospital has noted that they admit an average of 8 patients per hour.
a.What is the probability that during the next hour less then 3 patients will be admitted?
b.What is the probability that during the next two hours exactly 8 patients will be admitted?

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!


Hi  

Poisson Distribution:
average of 8 patients per hour: t = 1
P(less then 3 patients will be admitted)  


a. P(less then 3 patients will be admitted) =   
P(0) + P(1) + P(2) = (e^-8)(1 + 8+ 64/2) = 41(e^(-8)) = .0138
0r
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P(less then 3 patients will be admitted) = P( x ≤ 2) =  .0138 rounded

P(next two hours exactly 8 patients will be admitted)
b.  calculate

Wish You the Best in your Studies.

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