Adana selects one number at random from the distribution of \(X\) which has the following probability distribution.
\(x\)
0
5
10
\(\mathrm { P } ( X = x )\)
0.1
0.2
0.7
Given that the number selected by Adana is not 5 , write down the probability it is 0
Show that \(\mathrm { E } \left( X ^ { 2 } \right) = 75\)
Find \(\operatorname { Var } ( X )\)
Find \(\operatorname { Var } ( 4 - 3 X )\)
Bruno and Charlie each independently select one number at random from the distribution of \(X\)
Find the probability that the number Bruno selects is greater than the number Charlie selects.
Devika multiplies Bruno's number by Charlie's number to obtain a product, \(D\)