Request for urgent Help in a Probability Question

[Hazratgi]

Solution of this question but not clear.

Dear Friends, I hope you are all fine, I am facing serious issue to solve this question. Kindly guide me that how to solve this question.
In solution, there is confusion. By taking Minorities=A; Business people=B; Women=C; Profesionals and white-collar workers =D; Blue-collar workers=E

 

[Otis]

In solution, there is confusion.

Hi Hazratgi. To begin the discussion, please tell us the first word, phrase or statement that confuses you. That will provide tutors with a starting point. Thank you.

 

[Hazratgi]

Hi Hazratgi. To begin the discussion, please tell us the first word, phrase or statement that confuses you. That will provide tutors with a starting point. Thank you.

Dear Otis, many thanks for your excellent response. I just want to differentiate between the collectively exhaustive and mutually exhaustive. I mean want to make a list of collectively exhaustive and mutually exhaustive. Part (b) and part (c) are more important for me.
Best Regards,

 

[Hazratgi]

Hi Hazratgi. To begin the discussion, please tell us the first word, phrase or statement that confuses you. That will provide tutors with a starting point. Thank you.

I am trying to solve this question but facing confusion in collectively exhaustive and mutually exclusive:
Part (a): The segments are collectively exhaustive because we can select any segments for special campaigns. There are two senses of mutually exclusive, (1) If we consider all possible combinations, then it is mutually exclusive. Let's consider only those combinations that fall in the range of our total amount ($ 800,000). They are not mutually exclusive because we want to consider Minorities and Businesspeople ($350,000+$550,000=$900,000), which is not possible simultaneously and exceeds the total available amount (800,000).

Part (b): We are supposing that Minorities=M; Business people=BP; Women=W; Professionals and white-collar workers =PWW; Blue-collar workers=BCW

List of collectively exhaustive:

• M= $350,000;
• BP= $550,000;
• W= $250,000;
• PWW= $200,000;
• BCW= $250,000;
• (M,W)=M= $350,000+ W= $250,000=$600,000;
• (M,PWW)=M= $350,000+ PWW= $200,000=$530,000;
• (M,BCW)=M= $350,000+ BCW= $250,000=$600,000;
• (BP,W)= BP= $550,000+ W= $250,000=$800,000;
• (BP,PWW)= BP= $550,000+ PWW= $200,000=$750,000;
• (BP,BCW)= BP= $550,000+ BCW= $250,000=$800,000;
• (W,PWW)= W= $250,000+ PWW= $200,000=$450,000;
• (W,BCW)= W= $250,000+ BCW= $250,000=$500,000;
• (PWW,BCW)= PWW= $200,000+ BCW= $250,000=$450,000;
• (M,W, BCW)= M= $350,000+ W= $250,000+ BCW= $250,000=$850,000
• (M,PWW, BCW)= M= $350,000+ PWWW= $200,000+ BCW= $250,000=$800,000
• (W,PWW, BCW)= M= $250,000+ W= $200,000+ BCW= $250,000=$750,000

List of Mutually exhaustive:

Part (C):

List of collectively exhaustive:

• (BP,W)= BP= $550,000+ W= $250,000=$800,000;
• (BP,BCW)= BP= $550,000+ BCW= $250,000=$800,000;
• (M,W, BCW)= M= $350,000+ W= $250,000+ BCW= $250,000=$850,000
• (M,PWW, BCW)= M= $350,000+ PWWW= $200,000+ BCW= $250,000=$800,000

List of Mutually exhaustive: