Question

Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area between z = −2.15 and z = 1.34 is .

Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area between z = −1.33 and z = 2.03 is .

Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to four decimal places.) The area between z = 0.43 and z = 1.91 is .

Answer 1

Solution:

1)

P(-2.15 < z < 1.34)

= P(z < 1.34) - P(z < -2.15)

= 0.9099 - 0.0158 Using standard normal table,  

Probability = 0.8941

2)

P(-1.33 < z < 2.03)

= P(z < 2.03) - P(z < -1.33)

= 0.9788 - 0.0918 Using standard normal table,  

Probability = 0.8871

3)

P(0.43 < z < 1.91)

= P(z < 1.91) - P(z < 0.43)

= 0.9719 - 0.6664 Using standard normal table,  

Probability = 0.3055