Question

Let x be a random variable that represcnts the welghts in kilograms (kg) of healthy adult female deer (does in December In a national park. Then x has a distribution that is approximatcly normal with mean u σ = 8.1 kg. Suppose a doe that weighs less than 44 kg is considered undemourished. 53.0 kg and standard deviation (a) What is the prabability tat a single doe captured (weighed and eleased) at random in December is undernaurished?Round your answer to four decimal places.) C)t park has about 2400 daes, wat nuer do you expect ta e undernourished in Deceer? (Round your answe to the earest whole numher.) does (c) To estimata the health of the December doe population, park rangers use the rule that the average welght of n 55 does should be more than 50 kg. If the average weight Is less than 50 kg, I is thought that the entire population of docs might be undernourished. What is the probability that the avcroge weight x for a random samplc of 55 docs is less than 50 kg fassuming a hcalthy population) (Round your answer to four decimal places.) (d) Compute the probablity that x 54.8 kg for 55 does (assume a healthy population. (Round your answer to four decimal place.)

Answer 1