Mathematics, 12.02.2020 03:25 sindy35111
The probability that a wildcat well will be productive is 1/13. Assume that a group is drilling wells in various parts of the country so that the status of one well has no bearing on that of any other. Let X denote the number of wells drilled to obtain the first strikes.
a. Verify that X is geometric, and identify the value of the parameter p.
b. What is the exact expression for the density for X?
c. what is the exact expression for the moment generating function for X?
d. What are the numerical values of E[x], E[x2], \sigma 2, and \sigma ?
e. Find P[X>=2]
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