15 It is given that
$$X \sim \mathrm {~B} ( 48,0.175 )$$
15
- Find the mean of \(X\)
[0pt]
[1 mark]
15 - Show that the variance of \(X\) is 6.93
[0pt]
[1 mark]
15 - Find \(\mathrm { P } ( X < 10 )\)
[0pt]
[1 mark]
15 - \(\quad\) Find \(\mathrm { P } ( X \geq 6 )\)
[0pt]
[2 marks]
15 - \(\quad\) Find \(\mathrm { P } ( 9 \leq X \leq 15 )\)
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[2 marks]
L
15 - The aeroplanes used on a particular route have 48 seats.
The proportion of passengers who use this route to travel for business is known to be 17.5\%
Make two comments on whether it would be appropriate to use \(X\) to model the number of passengers on an aeroplane who are travelling for business using this route.