SOLUTION: It is asserted that 80 percent of the cars approaching an individual toll booth in New Jersey are equipped with an EZ Pass transponder. Find the probability that in a sample of six

Question 198959: It is asserted that 80 percent of the cars approaching an individual toll booth in New Jersey are equipped with an EZ Pass transponder. Find the probability that in a sample of six cars:
a) all six will have the transponder
b) at least three will have the transponder
c) none will have a transponder.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It is asserted that 80 percent of the cars approaching an individual toll booth in New Jersey are equipped with an EZ Pass transponder. Find the probability that in a sample of six cars:
---------------
Since every car either has or does not have an EZ Pass, the problem
is binomial.
---------------
a) all six will have the transponder
Ans: (0.8)^6 = 0.262
----------------------------------
b) at least three will have the transponder
Ans: 1 - binomcdf(6, 0.8, 2) = 0.983..
----------------------------------
c) none will have a transponder.
Ans: 0.2^6 = 0.000064
==================================
Cheers,
Stan H.

RELATED QUESTIONS
It is asserted that 90 percent of the cars approaching an individual toll booth in New... (answered by stanbon)

It is asserted that 80 percent of the cars approaching an individual toll booth in New... (answered by stanbon)

It is asserted that 90 percent of the cars approaching an individual toll both in New... (answered by ikleyn)

1. It is asserted that 65 percent of the cars approaching an individual toll both in New... (answered by stanbon)

Statistics from the Port Authority of New York and New Jersey show that 81% of the... (answered by math_tutor2020)

The transportation manager for the State of New Jersey has determined that the time... (answered by swincher4391)

Statistics from the Port Authority of New York and New Jersey show that 70% of the... (answered by Boreal)

Christine is a toll booth worker for the Abraham Lincoln memorial tollway and she wants... (answered by JulietG)