Let x be a random variable that represents the weights inkilograms (kg) of healthy adult female deer (does) in December in anational park. Then x has a distribution that is approximatelynormal with mean μ = 64.0 kg and standard deviation σ = 7.7 kg.Suppose a doe that weighs less than 55 kg is consideredundernourished.

(a) What is the probability that a single doe captured (weighedand released) at random in December is undernourished? (Round youranswer to four decimal places.) Incorrect: Your answer isincorrect.

(b) If the park has about 2250 does, what number do you expectto be undernourished in December? (Round your answer to the nearestwhole number.) Incorrect: Your answer is incorrect. does

(c) To estimate the health of the December doe population, parkrangers use the rule that the average weight of n = 55 does shouldbe more than 61 kg. If the average weight is less than 61 kg, it isthought that the entire population of does might be undernourished.What is the probability that the average weight x for a randomsample of 55 does is less than 61 kg (assuming a healthypopulation)? (Round your answer to four decimal places.) Incorrect:Your answer is incorrect.

(d) Compute the probability that x < 65.1 kg for 55 does(assume a healthy population). (Round your answer to four decimalplaces.)