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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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)  
p%28x%29+=+%28mu%5Ex%2Fx%21%29%2Ae%5E%28-mut%29
p%28x%29+=+%28mu%5Ex%2Fx%21%29%2Ae%5E%28-mu%29
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. p%288%29+=+%288%5E8%2F8%21%29%2Ae%5E%28-8%2A2%29 calculate

Wish You the Best in your Studies.