In Europe, 53% of the flowers of the Rewardless Orchid, Dactylorhiza sambucina, are yellow, whereas the remaining flowers are purple. For this problem, only use the normal approximation where it is appropriate. Use the binomial distribution where the normal approximation is inappropriate. If we took a random sample of a single individual from this population, what is the probability, reported as a percent, that it would be purple? | Determine the probability, reported as a decimal rounded to two decimal places, that if we took a random sample of 6 flowers, at least 3 would be purple. If we took a random sample of 260 individuals, what is the probability, reported as a decimal rounded to four decimal places, that 150 or fewer of the orchids are purple?

MATLAB: An Introduction with Applications
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In Europe, 53% of the flowers of the Rewardless Orchid, *Dactylorhiza sambucina*, are yellow, whereas the remaining flowers are purple. For this problem, only use the normal approximation where it is appropriate. Use the binomial distribution where the normal approximation is inappropriate.

1. If we took a random sample of a single individual from this population, what is the probability, reported as a percent, that it would be purple? 

2. Determine the probability, reported as a decimal rounded to two decimal places, that if we took a random sample of 6 flowers, at least 3 would be purple. 

3. If we took a random sample of 260 individuals, what is the probability, reported as a decimal rounded to four decimal places, that 150 or fewer of the orchids are purple?
Transcribed Image Text:In Europe, 53% of the flowers of the Rewardless Orchid, *Dactylorhiza sambucina*, are yellow, whereas the remaining flowers are purple. For this problem, only use the normal approximation where it is appropriate. Use the binomial distribution where the normal approximation is inappropriate. 1. If we took a random sample of a single individual from this population, what is the probability, reported as a percent, that it would be purple? 2. Determine the probability, reported as a decimal rounded to two decimal places, that if we took a random sample of 6 flowers, at least 3 would be purple. 3. If we took a random sample of 260 individuals, what is the probability, reported as a decimal rounded to four decimal places, that 150 or fewer of the orchids are purple?
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