An oil exploration firm is formed with enough capital to finance 10 explorations. The chanceof finding oil is 10% on each exploration.(a)Assuming independent explorations, find the mean and SD of the number of successful explorations.(b)Suppose the company has a fixed cost of$20,000 in preparing equipment prior to do-ing its first exploration. If each successful exploration costs$30,000 and each unsuccessful exploration costs$15,000, find the expected total cost to the firm for its 10 explorations