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Technology Use your most recent itemized phone bill for
Chapter 5, Problem 3DP(choose chapter or problem)
Problem 3DP
Technology Use your most recent itemized phone bill for the data in this problem. Assume that incoming and outgoing calls are equal in the population (why is this a reasonable assumption?). This means assume p = 0.5. For the number of calls you made last month, what would be the mean number of outgoing calls in a random selection of calls? Also, compute the standard deviation. Was the number of outgoing calls you made an unusual amount given the above? In a selection of 12 calls, what is the probability that less than 3 were outgoing?
Questions & Answers
QUESTION:
Problem 3DP
Technology Use your most recent itemized phone bill for the data in this problem. Assume that incoming and outgoing calls are equal in the population (why is this a reasonable assumption?). This means assume p = 0.5. For the number of calls you made last month, what would be the mean number of outgoing calls in a random selection of calls? Also, compute the standard deviation. Was the number of outgoing calls you made an unusual amount given the above? In a selection of 12 calls, what is the probability that less than 3 were outgoing?
ANSWER:
Answer
Step 1 of 1
(a)
We are asked to find the mean number of outgoing calls in a random selection of calls.
We can assume 12 phone calls in our bill out of which 6 were incoming calls and 6 were outgoing calls.
This means assume
Since the selection of calls is random, hence we can apply binomial distribution here.
We know the mean of binomial distribution for given sample is,
Here