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White raven [17]
3 years ago
10

After finishing college, Daniel had interviews with SeaWorld and the Central Park Zoo. The probability of receiving an offer fro

m SeaWorld is 35%. The probability of receiving an offer from the Central Park Zoo is 48%. The probability of Daniel getting an offer from both SeaWorld and the Central Park Zoo is 15%.
Determine the probability of receiving an offer from either SeaWord or Central Park Zoo but not both. ____________
Mathematics
2 answers:
vampirchik [111]3 years ago
8 0

Answer:

Step-by-step explanation:

Scilla [17]3 years ago
3 0

Answer:

68\%

Step-by-step explanation:

Let <em>A</em> be the event that Daniel receives call from SeaWorld.

Probability of event <em>A</em>, <em>P(A)</em> = 35\%

Let <em>B</em> be the event that Daniel receives call from Central Park Zoo.

Probability of event <em>B</em>, <em>P(B) </em>= 48\%

Probability that Daniel receives calls from both SeaWorld and Central Park Zoo:

P(A \cap B) = 15\%

We know that formula:

Probability that Daniel receives call from either SeaWorld or Central Park Zoo but not both:

P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow P(A \cup B) = 35\% + 48\% - 15\%\\\Rightarrow P(A \cup B) = 68\%

Hence, required probability is 68\%.

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Answer:

a)0.6192

b)0.7422

c)0.8904

d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

Step-by-step explanation:

Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then

z(p)=\frac{ME*\sqrt{N}}{s } where

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a.

z(p)=\frac{8*\sqrt{30}}{50 } ≈ 0.8764

by looking z-table corresponding p value is 1-0.3808=0.6192

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z(p)=\frac{8*\sqrt{50}}{50 } ≈ 1.1314

by looking z-table corresponding p value is 1-0.2578=0.7422

c.

z(p)=\frac{8*\sqrt{100}}{50 } ≈ 1.6

by looking z-table corresponding p value is 1-0.1096=0.8904

d.

Minimum required sample size for 0.95 probability is

N≥(\frac{z*s}{ME} )^2 where

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  • z is the corresponding z-score in 95% probability (1.96)
  • s is the standard deviation (50)
  • ME is the margin of error (8)

then N≥(\frac{1.96*50}{8} )^2 ≈150.6

Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

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The way to do this problem is by Spelling HAPPY THANKSGIVING and u put them in order by the lettter to a number.

73,15,41,41,12 16,73,15,33,10,24,17,23,50,23,3317
⬆️ ⬆️
H A P P Y T H A N K S G I V I N G


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