please show all the work! 6. An oil company conducts a geological research and c

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please show all the work!

6. An oil company conducts a geological research and concludes that an exploratory oil well has 0.15 chance of striking oil. (a) What is the probability that the third strike comes in the sixth well drilled? (b) Determine the expected value and variance of this distribution. Interpret your answers. 7. A bag contains twenty marbles: six red and fourteen black. Five marbles are drawn without replacement. What is the probability that exactly two are red? If electricity power failures occur according to a Poisson distribution with an average of three failures every twenty weeks, calculate the probability that there will not be more than one failure during a particular week. 8.

Explanation / Answer

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7) six red and fourteen black marbles

5 are drawn

P of exactly 2 red = (6C2 * 14C3)/20C5 = (15 * 364)/15504 = 0.3522

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