A bullfrog has a choice between jumping into 3 tanks. It chooses tanks 1, 2, and 3 with probabilities of 0.5, 0.4, and 0.1, respectively. Each tank contains scorpions for the bullfrog to eat. The maximum number of alive scorpions in each tank is 20, but could be less due to the compromised environment of each tank. For tank 1, the probability a scorpion is dead before the bullfrog is placed in that tank is 0.4. The corresponding probability for tank 2 is 0.2, and tank 3 is 0.05. The event of death of each scorpion, from tank to tank, is independent. a) Find the expected number of alive scorpions the bullfrog will find, given the choice of tanks. b) Find the probability the bullfrog finds over 15 frogs alive in the chosen tank