A consumer agency randomly selected 1700 flights for two major airlines,
\(\mathrm{A}\) and \(\mathrm{B}\). The following table gives the two-way
classification of these flights based on airline and arrival time. Note that
"less than 30 minutes late" includes flights that arrived early or on time.
$$\begin{array}{cccc}
\hline & \begin{array}{c}
\text { Less Than 30 } \\
\text { Minutes Late }
\end{array} & \begin{array}{c}
\mathbf{3 0} \text { Minutes to } \\
\text { 1 Hour Late }
\end{array} & \begin{array}{c}
\text { More Than } \\
\text { 1 Hour Late }
\end{array} \\
\hline \text { Airline A } & 429 & 390 & 92 \\
\text { Airline B } & 393 & 316 & 80 \\
\hline
\end{array}$$
a. Suppose one flight is selected at random from these 1700 flights. Find the
following probabilities.
i. \(P(\) more than 1 hour late and airline \(\mathrm{A}\) )
ii. \(P(\) airline \(\mathrm{B}\) and less than 30 minutes late)
b. Find the joint probability of events " 30 minutes to 1 hour late" and "more
than 1 hour late." Is this probability zero? Explain why or why not.