Question 819824: Application (Binomial approximation) Based on past experience, the police department of the city of Bowie knows that 50% of the automobiles reported stolen are recovered. In a month in which 10 automobiles are stolen, what is the probability that:
a.) 3 or more of the stolen automobiles will be recovered.
b.) Less than 2 automobiles will be recovered.
c.) Between 1 and 2 automobiles will be recovered.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Application (Binomial approximation) Based on past experience, the police department of the city of Bowie knows that 50% of the automobiles reported stolen are recovered. In a month in which 10 automobiles are stolen, what is the probability that:
-----
Using my TI-84 to get these answers::
=====
a.) 3 or more of the stolen automobiles will be recovered.
P(3<= x <=10) = 1 - binomcdf(10,0.5,2) = 0.9453
------------------------------------------------
b.) Less than 2 automobiles will be recovered.
P(0<= x <=2) = binomcdf(10,0.5,2) = 0.0547
-----------------------------------------------
c.) Between 1 and 2 automobiles will be recovered.
P(1<= x <=2) = binomcdf(10,0.5,2)-binompdf(10,0.5,0) = 0.0537
===================
Cheers,
Stan H.
=============
|
|
|
