1 Be sure to fully justify your responses when appropriate Don t forget units and use complete sentences when appropriate asked

Question

1 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 standard deviation 29 306 335 364 b Using this distribution what is the probability that a randomly selected NFL player will weigh over 250 lbs 55 87 248 mean 277

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