Be sure to fully justify your responses when appropriate! Don't forget units and use complete sentences when appropriate/asked for. Round probabilities to 4 decimal places. [10 pts] Assume the weights of NFL football players are normally distributed with a mean of 248 lbs and a standard deviation of 29 lbs. A new private- airplane which could carry all 53 players has a maximum weight capacity of 13250 lbs. a. Sketch the appropriate distribution below for the random variable X = the weight (in lbs) of an individual NFL football player. Be sure the mean, and standard deviation are clearly labeled.