Suppose that the random variable x is normally distributed with mean = 1,000 and standard deviation = 100. Sketch and find each of

Suppose that the random variable x is normally distributed with mean μ = 1,000 and standard deviation σ = 100. Sketch and find each of the following probabilities:
a. P(1,000 ≤ x ≤ 1,200)
b. P(x > 1,257)
c. P(x < 1,035)
d. P(857 ≤ x ≤ 1.183)
e. P(x ≤ 700)
f. P(812 ≤ x ≤ 913)
g. p (x > 891)
h. P(l,050 < x < 1,250)