Question 1008337: Five peas are generated from parents having the green/yellow pair of genes, so there is a .75 probability that an individual pea will have a green pod. Find the probability that among the 55 offspring peas, at least 4 have green pods. Is it unusual to get at least 4 peas with green pods when 5 offspring peas are generated? Why or why not?
The probability that at least 4 of the 5 offspring peas have green pods is
nothing.
(Round to three decimal places as needed.)
Is it unusual to randomly select 5 peas and find that at least 4 of them have a green pod? Note that a small probability is one that is less than 0.05.
A.
No, because the probability of this occurring is very small.
B.
Yes, because the probability of this occurring is not small.
C.
Yes, because the probability of this occurring is very small.
D.
No, because the probability of this occurring is not small.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Five peas are generated from parents having the green/yellow pair of genes, so there is a .75 probability that an individual pea will have a green pod. Find the probability that among the 5 offspring peas, at least 4 have green pods.
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P(4<= x <=5) = 1 - binomcdf(5,0.75,3) = 0.6378
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Is it unusual to get at least 4 peas with green pods when 5 offspring peas are generated? Why or why not?
No, it is not unusual when the p(a pea is green) = 0.75
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The probability that at least 4 of the 5 offspring peas have green pods is
0.6378
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(Round to three decimal places as needed.) 0.638
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Is it unusual to randomly select 5 peas and find that at least 4 of them have a green pod? Note that a small probability is one that is less than 0.05.
A.
No, because the probability of this occurring is very small.
B.
Yes, because the probability of this occurring is not small.
C.
Yes, because the probability of this occurring is very small.
D.
No, because the probability of this occurring is not small.
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Answer:: B
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Cheers,
Stan H.
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