Question 324870: Hello, I heard that your web site helps student I been out school for 10 years and I have a college math problem. Could someone please help me.
Here is the problem:
Mendel Revisited A pea plant must have exactly one of each of the following pairs of traits: short (s) or tall (t); round (r) or wrinkled (w) seeds; yellow (y) or green (g) peas; and white (wh) or purple (p) flowers (for example, short, wrinkled, green pea with white flowers).
• a)How many different classifications of pea plants are possible?
• b)Use a tree diagram to determine all the classifications possible.
• c)If each characteristic is equally likely, find the probability that the pea plant will have round peas.
• d)Determine the probability that the pea plant will be short, have wrinkled seeds, have yellow seeds, and have purple flowers.
I am so lost and don't know where to start, my baby is running fever and this is due tonight, if you can help me I be happy to donate to this web site.
Thank you again
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! a) Number of classifications = Number of possible heights * Number of possible shapes * number of possible colors * number of possible flower colors = 2*2*2*2 = 16 different possible classifications.
b) I can't draw it here, but start with a dot at the top of the page. From that dot, draw two lines that branch out and down (make sure they are spaced far apart). At the end of these lines, place two more dots and label them "short" and "tall". From each new point, repeat the last step and draw two lines branching outward and downward. Label the next set of two points "round" and "wrinkled". Continue this until you get to the end of the labels.
c) Since order does not matter, you can rearrange the elements in the tree of part b. This means that you can place "round" and "wrinkled" at the top of the tree (you don't have to, but it's certainly possible). If you do that, then exactly half of the elements will be round. So this means that there are (1/2)*16=8 pea classifications that are round.
So Probability of choosing "round" = P(round) = Number of round peas/Number of peas total = 8/16 = 1/2 = 0.5
So the chances of picking a round pea are 1/2 or 50%
Another way of looking at it is that half of the peas are round and the other half are wrinkled.
d) Since "the pea plant will be short, have wrinkled seeds, have yellow seeds, and have purple flowers" is only one configuration of the 16 total, this means that the probability of selecting this configuration is 1/16 = 0.0625 or a 6.25% chance.
Let me know if this helps.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Mendel Revisited A pea plant must have exactly one of each of the following pairs of traits:
short (s) or tall (t);
round (r) or wrinkled (w) seeds;
yellow (y) or green (g) peas;
and white (wh) or purple (p) flowers
(for example, short, wrinkled, green pea with white flowers).
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• a)How many different classifications of pea plants are possible?
Ans: 2*2*2*2 = 16
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• b)Use a tree diagram to determine all the classifications possible.
Ans: Can't show this on this site.
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• c)If each characteristic is equally likely, find the probability that the pea plant will have round peas.
Ans: 1/2 because the peas are either round or wrinkled.
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• d)Determine the probability that the pea plant will be short, have wrinkled seeds, have yellow seeds, and have purple flowers.
Ans: (1/2)(1/2)(1/2)(1/2) = 1/16
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Cheers,
Stan H.
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