Question

(a)Find the area under the standard normal curve that lies outside the interval between =z−1.73 and =z1.99.

(b)Find the area under the standard normal curve that lies outside the interval between =z−1.75 and =z0.99.

(c)Find the area under the standard normal curve that lies outside the interval between =z0.89 and =z1.41.

(d)Find the area under the standard normal curve that lies outside the interval between =z−1.80 and =z−1.33.

Answer 1

From standard normal tables:

a) The area between -1.73 and 1.99 is:

Thus the area outside is: 1-0.935=0.065

b) The area between -1.75 and 0.99 is:

Thus the area outside is: 1-0.799 = 0.201

c) The area between 0.89 and 1.41 is:

Thus the area outside is: 1-0.107 = 0.893

d) The area between -1.8 and -1.33 is:

Thus the area outside is: 1-0.056=0.944