find the indicated area under the standard normal curve. between z = - 0.83 and z = 0.83 click here to view…

find the indicated area under the standard normal curve. between z = - 0.83 and z = 0.83 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 = - 0.83 and z = 0.83 under the standard normal curve is . (round to four decimal places as needed.)

find the indicated area under the standard normal curve. between z = - 0.83 and z = 0.83 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 = - 0.83 and z = 0.83 under the standard normal curve is . (round to four decimal places as needed.)

Answer

Explanation:

Step1: Use standard - normal table property

The standard - normal distribution is symmetric about (z = 0). The area to the left of (z = 0.83) is (P(Z<0.83)), and the area to the left of (z=- 0.83) is (P(Z < - 0.83)). From the standard - normal table, (P(Z<0.83)=0.7967) and (P(Z < - 0.83)=1 - P(Z<0.83)=1 - 0.7967 = 0.2033).

Step2: Calculate the area between (z=-0.83) and (z = 0.83)

The area between (z=-0.83) and (z = 0.83) is (P(-0.83<Z<0.83)=P(Z<0.83)-P(Z < - 0.83)). Substitute the values: (P(-0.83<Z<0.83)=0.7967-0.2033 = 0.5934).

Answer:

(0.5934)