Solve the following question:  
Q1: A family has booked a long holiday in Skragness, where the probability of rain on any particular day is 0.3. 
a) Find the probability that the first day to rain will be on the third day of their holiday.
b) Find the probability chance that it will not rain for the first 2 weeks of their holiday.
 
[hint:  X~Geo(0.3)  a) P(X=__), b) P(X<__)]
 
Q2: If G~B(42, 7/12)
a) Find E(G) and Var(G) giving your answer as a fraction or mixed number
 
b*) Find P(G=20) correct to 3 significant figures.