Show transcribed image text 2. 6 points My Notes Ask Yo Suppose Z is a standard normal random variable. Suppose X is a normal random variable with mean 4 and standard deviation 5. Answer the following using a) Calculate the 15th percentile of the distribution of Z. b) Calculate the 15th percentile of the distribution of X. c) What is the expected value of the random variable 5X-3? d) What is the standard deviation of the random variable 5X -3? X-4 e) What is the standard deviation of the random variable 1 If X and Z are independent then what is the variance of 2X-4Z?

2. 6 points My Notes Ask Yo Suppose Z is a standard normal random variable. Suppose X is a normal random variable with mean 4 and standard deviation 5. Answer the following using a) Calculate the 15th percentile of the distribution of Z. b) Calculate the 15th percentile of the distribution of X. c) What is the expected value of the random variable 5X-3? d) What is the standard deviation of the random variable 5X -3? X-4 e) What is the standard deviation of the random variable 1 If X and Z are independent then what is the variance of 2X-4Z?