$($Waiting Time$)$ If $\backslash$lambda is the average number of events per unit of time, the probability p that one has to wait

longer than time t until the next event is given by the exponential distribution

p $=$ e

$\backslash$lambda t

$.$

Write a program called waiting$\_$time.py that accepts $\backslash$lambda $($float$)$ and t $($float$)$ as command$-$line arguments, and writes the probability

p to standard output. $.($Day of the Week$)$ Write a program called day$\_$of$\_$week.py that accepts m $($int$),$ d $($int$),$ and y $($int$)$ as commandline arguments, representing a date, and writes the day of the week $(0$ for Sunday, $1$ for Monday, and so on$)$ dow to standard

output, computed as

Consider a reference frame S and another frame S

$$ moving with velocity V in the x$-$axis direction relative to

S$.$ Also consider a third frame S

$$ moving with velocity U in the x

$$

$-$axis direction relative to S

$$

$.$