SOLUTION: About 61% of pot shards found in Bandelier National Monument are Santa Fe black on white. At one site 8641 shards have been found. What is the probability that a less than 5200

Algebra ->  Probability-and-statistics -> SOLUTION: About 61% of pot shards found in Bandelier National Monument are Santa Fe black on white. At one site 8641 shards have been found. What is the probability that a less than 5200      Log On


   

Question 691385: About 61% of pot shards found in Bandelier National Monument are Santa Fe black on white. At one site 8641 shards have been found. What is the probability that
a less than 5200 are Santa Fe black on white?
b ore than 5400 are Santa Fe black on white?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
About 61% of pot shards found in Bandelier National Monument are Santa Fe black on white. At one site 8641 shards have been found. What is the probability that
a less than 5200 are Santa Fe black on white?
p-hat = 5200/8641 = 0.6018
----
z(0.6018) = (0.6018-0.61)/sqrt[0.61*0.59/8641] = -1.2733
---
P(x < 5200) = P(z < -1.2733) = 0.1014
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b more than 5400 are Santa Fe black on white?
p-hat = 5400/8641 = 0.6249
z(0.6249) = (0.6249-0.61)/sqrt[0.61*0.59/8641] = 2.3130
----
P(x > 5400) = P(z > 2.3130) = 0.0104
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Cheers,
Stan H.
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