When polling organizations use random digit dialing to place telephone calls in

Question

When polling organizations use random digit dialing to place telephone calls in the United States, the chance that a person will answer any given call is 8%. Suppose that Phill works at a polling organization and starts making calls using random digit dialing. Let X= the first call on which a person answers.

7) Give the name of the distribution that could appropriately model this random variable and write the probability mass function.

8) What is the probability chance that Phill will need to place fewer than ten calls before a person answers?

Explanation / Answer

7) this is a geomteric distribution and probabilty that first call on which a person answers is Xth=(1-p)x-1*p

8) probability chance that Phill will need to place fewer than ten calls before a person=1-P(till 10th call no body answers)=1-(1-0.08)10 =1-0.4344=0.5656

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