FORMULA SHEET Normal Distribution If X is N(u, o) + z =*** Sampling distribution of X Mean= Standard Deviation of X = co Standard Error of X = Sampling distribution of Ê Mean = p Standard Deviation of Ô = Vn Standard Error of Ô = (1-7) Vn QUESTION 4

FORMULA SHEET Normal Distribution If X is N(u, o) + z =*** Sampling distribution of X Mean= Standard Deviation of X = co Standard Error of X = Sampling distribution of Ê Mean = p Standard Deviation of Ô = Vn Standard Error of Ô = (1-7) Vn
QUESTION 4. The amount of time it takes a student to walk home is normally distributed with a mean of 15 minutes and a standard deviation of 5 minutes. a) Define the random variable of interest, X. b) State the distribution of the random variable. c) What is the probability that, for a randomly selected student, their time is between 14 and 17 minutes? d) For a randomly selected student, if their time is at the 27th percentile, what was the amount of time it took this student to walk home?