PLEASE PAY CLOSE ATTENTION TO WHAT IS BEING ASKED IN QUESTIONS. I have arrange the questions 1-6, please only provide answer with question number and part (ex. 1a, 1b, 2a, 2b, etc.). No explanation needed.

2.

A random variable is normally distributed with a mean of p. = 50 and a standard deviation of 0' = 5. a. Which of the following graphs accurately represents the probability density function? \fChoose the correct option. - Select your answer - V b. What is the probability that the random variable will assume a value between 45 and 55 (to 4 decimals)? c. What is the probability that the random variable will assume a value between 40 and 60 (to 4 decimals)? Given that z is a standard normal random variable, compute the following probabilities (to 4 decimals). a. P(z S 1.0) b. P(z 2 1.0) c. P(z 2 1.5) d. P(z 2 2.5) e. P(3 0.37) d. P(z Z 0.38) e. P(z