Check in each case whether the values of n and satisfy the rule of thumb for

Check in each case whether the values of n and θ satisfy the rule of thumb for a good approximation, an excellent approximation, or neither when we want to use the Poisson distribution to approximate binomial probabilities. 

(a) n = 125 and θ = 0.10; 

(b) n = 25 and θ = 0.04; 

(c) n = 120 and θ = 0.05; 

(d) n = 40 and θ = 0.06.