8. If x is a normally distributed continuous random variable with = 32 and o =6, find the following: a. What is the probability that x is between 23 and 30.5? %3D = Mes-) = 2 b. What is the...

Need help with 8 d and e please

Extracted text: 8. If x is a normally distributed continuous random variable with = 32 and o =6, find the following: a. What is the probability that x is between 23 and 30.5? %3D = Mes-) = 2 b. What is the probability that x is between 17 and 32? =0.49379 12 32 z-(32-32)/6: What percentage of the population will be greater than 35? d. What is the value of x where approximately 45% of the population lies less than x? What is the value of x where approximately 35% of the population lies greater than x? e.