Product probability: prob. random customer got fewer than

[medic34758]

68% of the consumers were buying fewer products than before, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported.

Brands     Number of Products Purchased
Purchased   Fewer   Same   More   Total
Same          10     14     24      48
Changed      262     82      8     352
Total        272     96     32     400

What is the probability that a consumer selected at random purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank. ________

Is this set up 272/400 = 0.6800 or 10/48 = 0.2083 or 10/400 = 0.0250?

 

[Deleted member 4993]

Re: Product probability

68% of the consumers were buying fewer products than before, 24% were buying the same number of products, and 8% were buying more products. Furthermore, in a trend toward purchasing less-expensive brands, 88% indicated that they had changed the brands they purchased. Suppose the following complete set of results were reported.

 	                           Number of Products Purchased	 
Brands Purchased	Fewer	      Same	     More	        Total
Same	            10            14            24              48
Changed	        262	         82	          8	          352
Total	          272	         96	         32	          400

What is the probability that a consumer selected at random purchased fewer products than before? Place your answer, rounded to 4 decimal places, in the blank. ________

Is this set up

272/400 = 0.6800 <<< Why do you think this is correct?

or 10/48 = 0.2083 <<< Why do you think this is correct?

or 10/400 = 0.0250 <<< Why do you think this is correct??

 

[medic34758]

Re: Product probability

272/400 = 0.6800 <<< Why do you think this is correct? I want to use 272/400 because the question doesn't state whether or not the subjects bought the same brand or changed brands, it just states randomly chosen consumer who purchased fewer products. So total persons who bought the same brand and changed brand and fewer is 272 people.

or 10/48 = 0.2083 <<< Why do you think this is correct? This is only persons who bought the same product but fewer and doesn't include those who bought a different brand.

or 10/400 = 0.0250 <<< Why do you think this is correct?? I don't think this is correct based upon reasons above.