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An oil drilling company drills six new wells each month. Each well drilled is either successful or it is not. Let the random variable X be the number of successful wells drilled per month.
(a) Is X a discrete or continuous random variable?
(b) List all the values that X can assume.
(c) Does the following function define a probability distribution for X? If the function does define a probability distribution for X, then give the distribution in table form. If the function does not define a probability distribution for X, then explain why not.
(d) Compute the mean, variance and standard deviation for the number of successful wells drilled per month. Label all values using the appropriate symbol.
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