find the indicated area under the standard normal curve. between z = - 2.46 and z = 2.46 click here to view…

find the indicated area under the standard normal curve. between z = - 2.46 and z = 2.46 click here to view page 1 of the standard normal table. click here to view page 2 of the standard normal table. the area between z = - 2.46 and z = 2.46 under the standard normal curve is (round to four decimal places as needed.)

find the indicated area under the standard normal curve. between z = - 2.46 and z = 2.46 click here to view page 1 of the standard normal table. click here to view page 2 of the standard normal table. the area between z = - 2.46 and z = 2.46 under the standard normal curve is (round to four decimal places as needed.)

Answer

Explanation:

Step1: Recall standard - normal table property

The standard - normal distribution is symmetric about (z = 0). The total area under the standard - normal curve is 1. The area to the left of (z = 0) is 0.5 and the area to the right of (z = 0) is 0.5.

Step2: Find the area to the left of (z=-2.46)

Looking up (z=-2.46) in the standard - normal table, the area to the left of (z =-2.46) is (A_1=\Phi(-2.46)). From the standard - normal table, (\Phi(-2.46)=0.0069).

Step3: Find the area to the left of (z = 2.46)

Looking up (z = 2.46) in the standard - normal table, the area to the left of (z = 2.46) is (A_2=\Phi(2.46)). Since the standard - normal distribution is symmetric, (\Phi(2.46)=1 - \Phi(-2.46)). So (\Phi(2.46)=1 - 0.0069=0.9931).

Step4: Calculate the area between (z=-2.46) and (z = 2.46)

The area between (z=-2.46) and (z = 2.46) is (A=A_2 - A_1). Substituting the values of (A_1) and (A_2), we get (A = 0.9931-0.0069 = 0.9862).

Answer:

(0.9862)