SOLUTION: 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 prob

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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) About Me  (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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