Suppose that the random variable x is normally distributed with mean = 1,000 and standard deviation = 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(x700)

f.P(812 x 913)

g.P(x>891)

h.P(1,050 x 1,250)