Bird wingspans The wingspans of the females of a certain species of bird of prey form a normal distribution with mean 168-75 cm and standard deviation 6-5 cm. The wingspans of the males of the species are normally distributed with mean 162-5 cm and standard deviation 6 cm. What is the probability that, if a male and female are taken at random, the male has a larger wingspan than the female?

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Statistics and Probability
Bird wingspans
The wingspans of the females of a certain species of bird of prey form a normal distribution
with mean 168-75 cm and standard deviation 6-5 cm. The wingspans of the males of the species
are normally distributed with mean 162-5 cm and standard deviation 6 cm. What is the
probability that, if a male and female are taken at random, the male has a larger wingspan than
the female?
Transcribed Image Text:Bird wingspans The wingspans of the females of a certain species of bird of prey form a normal distribution with mean 168-75 cm and standard deviation 6-5 cm. The wingspans of the males of the species are normally distributed with mean 162-5 cm and standard deviation 6 cm. What is the probability that, if a male and female are taken at random, the male has a larger wingspan than the female?
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