Mathematics, 10.03.2020 04:07 cfigueroablan
In a certain population of the eastern thwump bird, the wingspan of the individual birds follows an approximately normal distribution with mean 53.0 mm and standard deviation 6.25 mm. A sample of five birds is drawn from the population. [Note: give your answers up to 4 decimal places.](a) Find the probability that the wingspan of the first bird chosen is between 48 and 58 mm long.(b) Find the probability that at least one of the five birds has a wingspan between 48 and 58 mm. In addition,(c) What is the expected number of birds in this sample whose wingspan is between 48 and 58 mm.(d) Find the probability that the wingspan of a randomly chosen bird is less than 48 mm long.(e) Find the probability that more than two of the five birds have wingspans less than 48 mmlong.
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