Problem 8: Ten (10) exploratory wells will be drilled in a new oil field. A well can be either a producer (event 0) or a dry hole (event D). Past experiences suggest that the probability to drill a producer is 55% or 13(0) : 0.55. 13(0) + POD) : 1. The outcomes of the ten exploratory wells are independent. Use binomial distribution to calculate the following probabilities: a. All wells will be dry holes (2 points) b. All wells will be producers (2 points) c. Exactly 5 wells will be producers (2 points) d. At most3 wells will be dry holes {4 points}