You walk to campus every morni
ng. Your route passes through t
he W Cowell
Blvd. and Anderson intersection. Sometimes you arrive at the in
tersection and have to wait for the
"pedestrian walk" signal, others you encounter a "no-walk" sign
al. Given your interest in statistics
and probability, you recorded the status of the walk signal (pa
ss/no pass) when you arrive at the
intersection. After many and many days of walking up to the int
ersection, you realize that the walk
signal will be in the no-walk mode 80% of the time. Assume ever
y walk is an independent trial and
we are starting from tomorrow. D
efine the random variable, the
distribution, and write the equation
of the pmf for the following questions.
(a) What is the probability that the first morning you arrive t
o a walk signal is the 5
(b) What is the probability that you have to wait at the inters
ection 10 days in a row?
(c) What is the expected value a
nd standard deviation for the r
andom variable defined in part (b)?