2 The number of phone calls, \(X\), received per day by Sarah has the following probability distribution.
\(x\)
0
1
2
3
4
\(\geqslant 5\)
\(\mathrm { P } ( X = x )\)
0.24
0.35
\(2 k\)
\(k\)
0.05
0
Find the value of \(k\).
Find the mode of \(X\).
Find the probability that the number of phone calls received by Sarah on any particular day is more than the mean number of phone calls received per day.