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find each of the shaded areas under the standard normal curve. round the answers to four decimal places. part 1 of 4 0.61 the area of the shaded region is .

Sagot :

KhiradAfaqidn

(a) The area of the shaded region is 0.2709.

(b) The area of the shaded region is 0.3520.

(c) The area of the shaded region is 0.5555.

(d) The area of the shaded region is 0.6197

What is standard normal curve?

The horizontal axis is approached but never touched by the standard normal curve as it extends indefinitely in both directions. The center of the bell-shaped standard normal curve, which has a z=0 slope, is. Nearly all of the standard normal curve's area lies between z = 3 and z = 3.

The shaded area under the standard normal curve are,

1) Find,  P[Z > 0.61 ]

= P[Z > 0.50]

= 1 - P[Z < -0.50]

= 1 - 0.7291 ( use z table)

=   0.2709

The area of the shaded region is 0.2709.

2) Find,  P[Z < -0.38 ]

= P[Z < -0.38 ]

= 0.3520 ... ( use z table)

The area of the shaded region is 0.3520.

3) Find,  P( -0.58 < Z < 0.98 )

= P(Z < 0.98 ) - P(Z < -0.58 )

= 0.8365 - 0.2810 ......(using z-table)

= 0.5555

The area of the shaded region is 0.5555.

4) Find ,  P( -0.11 < Z > 0.98 )

= 1 - P(Z < 0.98 ) - P(Z < -0.11 )

= 1 - ( 0.8365 - 0.4562 ) ......(using z-table)

= 1 - 0.3803

= 0.6197

Hence, the area of the shaded region is 0.6197.

To know more about standard normal curve, click on the link

https://brainly.com/question/23418254

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