Question 145305This question is from textbook
: I have worked this problem but I would like a check. Thank you for your help!
To analyze shoppers’ preferences a local grocery store records the following information by asking shoppers what type of bread they prefer – white/national brand, white/store brand, whole wheat/national brand or whole/wheat store brand.
National Brand Store Brand
White 176 215
Whole Wheat 253 179
I have tried to type the table out in a list as the table does not stay when I post.
White - National brand = 176
White - Store brand = 215
Whole Wheat - National brand = 253
Whole Wheat - Store brand = 179
Find the probability that a randomly selected shopper prefers white bread.
P(WB)=391/823=0.4751
Find the probability that a randomly selected shopper prefers store brand bread.
P(SB)=394/823=0.4787
Find the probability that a randomly selected shopper prefers whole wheat bread given the individual only prefers national brands.
P(WW│NB)=253/432=0.5856
Find the probability that a randomly selected shopper prefers bread that is whole wheat or any kind that is not store brand.
P(WW plus any kind not store brand)=432/823+176/823=0.7388
~Lyn
This question is from textbook
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! To analyze shoppers’ preferences a local grocery store records the following information by asking shoppers what type of bread they prefer – white/national brand, white/store brand, whole wheat/national brand or whole/wheat store brand.
National Brand Store Brand Total
White 176 215......391
Whole Wheat 253 179......432
Totals............429................394......823
Find the probability that a randomly selected shopper prefers white bread.
P(WB)=391/823=0.4751 ;Correct
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Find the probability that a randomly selected shopper prefers store brand bread.
P(SB)=394/823=0.4787 ;Correct
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Find the probability that a randomly selected shopper prefers whole wheat bread given the individual only prefers national brands.
P(WWB | NB)=253/429 = 0.5897 ; Corrected
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Find the probability that a randomly selected shopper prefers bread that is whole wheat or any kind that is not store brand.
P(WW OR any kind not store brand)=432/823+429/823-253/823 = =0.73876...
Corrected
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Cheers,
Stan H.
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