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

th

morning you

approaches it?

(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)?