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jonny [76]
2 years ago
7

In Europe, 53% of the flowers of the Rewardless Orchid, Dactylorhiza sambucina, are yellow, whereas the remaining flowers are pu

rple. For this problem, only use the normal approximation where it is appropriate. Use the binomial distribution where the normal approximation is inappropriate.
Required:
a. If we took a random sample of a single individual from this population, what is the probability that it would be purple?
b. If we took a random sample of five individuals, what is the probability that at least three are yellow?
c. If we took many samples of n=5 individuals, what is the expected standard deviation of the sampling distribution for the proportion of yellow flowers?
d. If we took a random sample of 263 individuals, what is the probability that no more than 150 are yellow?
Mathematics
1 answer:
stich3 [128]2 years ago
7 0

Answer:

a. The probability of taking out a purple flower is 0.47.

b. The probability that out of a sample of 5 flowers at least 3 flowers are yellow 0.56.

c. The standard deviation of the distribution for proportion of yellow flowers is 0.22.

d. The probability that out of the 263 samples, at most 150 of them are yellow is 0.90.

Step-by-step explanation:

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A students work to simplify a radical is shown below. Select the statemmebt which best applies to rhe sample mathematical work
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D. The work shown above is correct, and y^5\sqrt[4]{y^3} may not be simplified further.

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Since it is 4th root so each y^4 will turn into y when it moves out of the radical so final answer is correct.

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8 0
3 years ago
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kodGreya [7K]

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S₃ = 37

Step-by-step explanation:

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