Question

a) determine the area under the standard normal curve that lies to the right of -1.07

b) determine the area under the standard normal curve that lies to the right of 0.60

c) determine the area under tbe standard notmal curve that lies to the left of -0.56

d) determine the area u fet the standard normal curve that lies between -2.50 and 1.00

Answer 1

Z ~ N ( 0,1)

a) Required area = P ( Z > -1.07) = 1 - P ( Z< -1.07)

From normal probability table

P ( Z< -1.07) = 0.1423

Area under the standard normal curve lies to the right of -1.07 = 1 -0.1423 = 0.8577.

b) Required area = P ( Z > 0.60)

From normal probability table

P ( Z > 0.60) = 0.2743

Area under the standard normal curve lies to the right of 0.60 = 0.2743.

c) Required area = P ( Z < -0.56)

From normal probability table

P ( Z <- 0.56) = 0.2877

Area under the standard normal curve lies to the left of -0.56= 0.2877

d) Required area = P ( -2.50 < Z < 1.00)

= P ( Z < 1.00) - P ( Z < -2.50)

From normal probability table

P ( Z < 1.00) = 0.8413

P ( Z< -2.50) = 0.0062

Area under the standard normal curve lies between -2.5 and 1.00 = 0.8413 - 0.0062 = 0.8351.