Verizon Wireless offers smartphone and tablet customers a variety of data plans.
ID: 3200691 • Letter: V
Question
Verizon Wireless offers smartphone and tablet customers a variety of data plans. Each user must select the number of gigabytes depending on the planned volume of emails, music, and videos.3 An experiment consists of selecting a Verizon Wireless smartphone customer and recording the data plan (1, 2, 3, 4, 5, or 6 GB) and whether the customer used more data than planned last month. Consider the following events. A = The customer used more data than planned. B = The customer has a 1-, 2-, or 3-GB plan. C= The customer has a 5- or 6-GB plan, and used more data than planned. D = The customer has a 2-, 4-, or 6-GB plan. Find the sample space S for this experiment. Find the outcomes in each of the following events. B' A B A B C D A B DExplanation / Answer
Answer to part a)
the sample space is :
S = { 1Gb, 2 Gb, 3Gb, 4Gb, 5 Gb, 6Gb}
The customers have either 1 gb, or 2 gb, or 3 gb or 4 gb or 5 gb or 6 gb plans, these customers form the sample space.
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Answer to part b)
i. B' = implies compliment of B
Implies the customers who have used plans other that 1 gb or 2 gb or 3gb
Thus it would include customers who have used plans 4 gb , 5 gb or 6 gb.
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ii. A u B , would include the customers who have either : 1gb , 2 gb or 3 gb plan or who have used more data than planned
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iii. AnB : this includes only those customers who have either 1 gb or 2 gb or 3gb plan AND have used more data than planned
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iv. CnD: the customers with 6gb plan are common in both of them , thus it would include the 6Gb customers who have used more data than planned.
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v. AnBnD: it includes 2Gb customers who have used more data than plannned.
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