The mean and standard deviation of the donations sent to Honston by a particular population were $116 and 533 respectively. A random sample of 30 people is taken and the aroouot the}; each donated is reoorded. 11' X = the of a Ls. What is the distribution of X? with #1: = ax: rt.r i = the MEAN of _ r.s. What is the distribution of i? with a: = g! = a. Use the Central Limit Theorem along with the Empirical Rule to label the graph below for the distribution of E. . What is the probability that a random sample of 3|] people fmm this population donated a mean amoUnt bctwcen $1M and $191}? a. Probability statement: b. TI input: c. Round answer to 4 decimal places There is a 5% chance that the mean donation amount of a random sample of3 people will exceed what value? . Would it be considered unusually low to see a donation of $150? Would it be considered unusually low to see a mean donation amoUnt of $15!} for a random sample of 30 people