Before every ight. the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 39 passengers. and a ight has fuel and baggage that allows for a total passenger load of 6,396 lb. The pilot sees that the plane is full and all passengers are men_ The aircraft will be overloaded if the mean weight of the passengers is 6,396 lb greater than =164 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded aircraft? Assume that weights of men are nom'iallv distributed with a mean of 1?B.6 lb and a standard deviation of 39.3. The probability is approximately . (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? 0 A. No. Because the probability is high, the aircraft is safe to fly with its current load. C) B. Yes. Because the probability is highI the pilot should take action by somehow reducing the weight of the aircraft. Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs. each of size n = 15, are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small? Explain. Choose the correct answer below. 0 A. Yes; the sample size must be over 30 for the sample means to be normally distributed. 0 B. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size. 0 C. No; as long as more than 30 samples are collected, the sample means will be normally distributed. 0 D. No; the original population is nom'ially distributed, so the sample means will be normally distributed for any sample size