Tea-(ting: A sample of 300 teenagers are selected at random. Let X be the number of teenagers who have sent text messages on their cell phones within the past 30 days. According to a study by the Nielsen Company, the probability distribution of X is as follows: Questions: a} 1|ll'll'hat is the 1lurariable in this data? Be specic. {Epts} Compute the probability, rounded to 2 decimal places, that: b] three teenagers sent text messages on their cell phone within the past 30 days. cl three or more teenagers sent text messages on their cell phone within the past 3D days. d} fewer than two teenagers sent text messages on their cell phone within the pa st 30 days. e) 2 to 4 teenagers sent text messages on their cell phone within the past 30 days. f} Compute P (x 3.. 2} g] Compute PH 5. X 5 3) and explain what the result represents. h} Compute the mean and interpret the result. No need of showing your work. [3pts] i} Compute the standard deviation, ox. Round to 2 decimal places. Work is not needed Extra Credit: j} [if the 30C! teenagers surye'yrerjr how many teenagers have sent 2 text messages on their cell phones within the past 30 days. Explain how you obtained your