Need help with the following 6 questions!

Question 1

Let Z be a continuous random variable with standard normal distribution. Find P(Z 5 1.25). QUESTION 2 Let Z be a continuous random variable with standard normal distribution. Find P(1.11 3 Z S 2.07). QUESTION 3 Let X be a. continuous random variable having normal distribution with p = 63 and or = 2.5.Find P(GG 5 X S 71)_ Let X be a continuous random variable having normal distribution 1with p = 68 and a = 2.5. Find P(X g 70)- QUESTION 5 Let X have binomial distribution 6(3; 12, 0.25). Approximate P(3 5 X 5 5) using the normal distribution. QUESTION 6 Entry to a certain university is determined by a national test. The scores on this test are assumed to be normally distributed with a mean of 400 and a standard deviation of 50. Let X be a random variable that denotes the test scores. Find P(X S 475)