Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that approximately normal with mean u = 56.0 kg and standard deviation o = 7.7 kg. Suppose a doe that weighs less than 47 kg is considered undernourished. (a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.) (b) If the park has about 2750 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.) does (c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 40 does should be more than 53 kg. If the average weight is less than 53 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight x for random sample of 40 does is less than 53 kg (assuming a healthy population)? (Round your answer to four decimal places.)

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Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that
approximately normal with mean u = 56.0 kg and standard deviation o = 7.7 kg. Suppose a doe that weighs less than 47 kg is considered undernourished.
(a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal
places.)
(b) If the park has about 2750 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.)
does
(c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 40 does should be more than 53 kg. If the
average weight is less than 53 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight x for
random sample of 40 does is less than 53 kg (assuming a healthy population)? (Round your answer to four decimal places.)
Transcribed Image Text:Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that approximately normal with mean u = 56.0 kg and standard deviation o = 7.7 kg. Suppose a doe that weighs less than 47 kg is considered undernourished. (a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.) (b) If the park has about 2750 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.) does (c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 40 does should be more than 53 kg. If the average weight is less than 53 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight x for random sample of 40 does is less than 53 kg (assuming a healthy population)? (Round your answer to four decimal places.)
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