Questions 32 – 35. No work or explanation required unless specifically asked for
ID: 3181133 • Letter: Q
Question
Questions 32 – 35. No work or explanation required unless specifically asked for.
32. The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.3. Assuming that the two events are independent, the probability that the cost is kept within budget or that the campaign will increase sales is ______.
33. Two CUNY students are randomly selected.
Let A represent the event "the first student lives in Queens."
Let B represent the event "the second student lives in Queens."
Are the events A and B disjoint? Explain your answer.
34. Referring to the question above, are the events A and B independent? Explain your answer.
35. The manager of a marketing department wants to select 3 employees to serve on a weekly council. He is using Excel. In the spreadsheet below, the first column contains an alphabetical list of all employees in the department. In the second column, the manager has just generated a list of random numbers.
What should the manager do next?
Who will be the 3 employees selected?
32. The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.3. Assuming that the two events are independent, the probability that the cost is kept within budget or that the campaign will increase sales is ______.
33. Two CUNY students are randomly selected.
Let A represent the event "the first student lives in Queens."
Let B represent the event "the second student lives in Queens."
Are the events A and B disjoint? Explain your answer.
34. Referring to the question above, are the events A and B independent? Explain your answer.
35. The manager of a marketing department wants to select 3 employees to serve on a weekly council. He is using Excel. In the spreadsheet below, the first column contains an alphabetical list of all employees in the department. In the second column, the manager has just generated a list of random numbers.
What should the manager do next?
Who will be the 3 employees selected?
AMY BOB CAROL DANA EDUARDO FRANK GORDY HECTOR INEZ JACKIE KIM LULY 36 32 A2 10 36 11Explanation / Answer
32:
P(advertising campaign will increase sale)=0.8
P(the cost is kept within budget) = 0.3
Since above both events are independent so requried probability is
P(advertising campaign will increase sale or the cost is kept within budget) = P(advertising campaign will increase sale)+ P(the cost is kept within budget) -P(the cost is kept within budget) P(advertising campaign will increase sale) = 0.8+ 0.3 - 0.8*0.3 = 0.86
33:
Since both students can live in queen so these events are not disjoint.
34:
Yes these are independent events.
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