The intersection below is on a typical rural road with a $100k\frac{m}{h}$ speed limit$.$ Determine the following:

a$)$ Advise the layout recommended by the Austroads turning warrant for both turning movements

given.

b$)$ Determine the length of the turning lane $($number of spaces$)$ for the traffic turning right

from the main road for a $95\%$ confidence.

c$)$ Determine the average delay per vehicle that the right$-$turning traffic from the main road

will experience if no queueing will occur. It was determined that the required headway will

be $4$ seconds and $2$ seconds respectively.

d$)$ Determine the average delay per vehicle for right$-$turning traffic if queuing does occur.

e$)$ Determine how many opportunities per hour will be available to the right$-$turning vehicles

from the major road if they require a time gap of $4$ or more seconds.

f$)$ What is the probability of there being ONE vehicle in the traffic flow opposing the right turn in

movement in any $4-$second time period?