Question 188128: This problem mirrors the one I値l have on the test. What should I use to get the following answers for How many trucks had only late variety peaches? How many had only extra lates? How many had only one type of peach? How many trucks in all went out during the week? You are in charge of distribution for a national fruit and vegetable company. On any given day in the middle of the harvesting season, what is the probability that you will encounter a delivery truck whit contains only one type of peach?
Should I use a venn diagram? Tree? Any suggestions to get me going would be greatly appreciated. If i can work this problem I'll be fine on the test so I'm told.
"Toward the middle of the harvesting season, peaches for canning come in three types: earlies, lates and extra lates. Depending of the expected date of ripening. During a certain week, the following data was recorded at a fruit delivery station: 34 trucks went out carrying early peaches; 61 had late peaches; 50 had extra lates; 25 had earlies and lates; 30 had lates and extra lates; 8 had earlies and extra lates; 6 had all three; 9 had only figs (no peaches at all)."
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Should I use a venn diagram? Tree? Any suggestions to get me going would be greatly appreciated. If i can work this problem I'll be fine on the test so I'm told.
"Toward the middle of the harvesting season, peaches for canning come in three types: earlies, lates and extra lates. Depending of the expected date of ripening. During a certain week, the following data was recorded at a fruit delivery station: 34 trucks went out carrying early peaches; 61 had late peaches; 50 had extra lates; 25 had earlies and lates; 30 had lates and extra lates; 8 had earlies and extra lates; 6 had all three; 9 had only figs (no peaches at all)."
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Use a Venn Diagram.
Draw three intersecting circles inside a rectangle: earlies(34) ; lates(61); extra lates(50)
Put a 9 in the rectangle but outside all the circles.
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Put a 6 where all three circles intersect. Do this 1st then work you way
outward from that center.
The intersection of lates and extra lates has 30 but 6 are in the center
so put 30-6 = 24 in the remaining area of the intersection of lates and
extra lates.
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Can you fill out the rest of the sections of the three circles???
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How many trucks had only late variety peaches?
Ans: 12
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How many had only extra lates?
Ans: 18
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How many had only one type of peach?
Ans: 37
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How many trucks in all went out during the week?
Ans: 97
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You are in charge of distribution for a national fruit and vegetable company. On any given day in the middle of the harvesting season, what is the probability that you will encounter a delivery truck which contains only one type of peach?
Ans: 37/97
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Let me know if you disagree.
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Cheers,
Stan H.
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