Use technology to find the indicated area under the standard...

Use technology to find the indicated area under the standard Normal curve. Include an appropriately labeled sketch of the Normal curve and shade the appropriate region. a. Find the area in a standard Normal curve to the left of 1.01. b. Find the area in a standard Normal curve to the right of 1.01. Remember that the total area under the curve is 1. a. Which graph below shows the area in a standard Normal curve to the left of 1.01? The area in a standard Normal curve to the left of 1.01 is (Round to four decimal places as needed)

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00:01 There are given some z values in this question, so that means we have a standard normal distribution.

00:06 And for this distribution, we know that the mean, denoted by mere, should be zero.

00:11 And the standard deviation, which is denoted by sigma, and that is equal to 1 here.

00:17 So i can define the random variable x.

00:19 This is normally distributed, 0 and 1 here.

00:22 So for the first part of the question, we have defined the area the left of z is equal to negative 2.

00:30 The right of z is equal to 2 here.

00:32 Let me graph it first of all.

00:34 This is the normal distribution we have.

00:37 This is where the z value is 0 and the negative 2 and this is 2.

00:43 So we're going to find the area of this region and the area of this region.

00:47 So the z values are here which is negative 2 and 2 which is symmetrical with respect to mean value where the z is equal to 0 here.

00:54 So the area of the probability of the z is less than negative 2, which is equal to.

01:01 To the probability of z is greater than 2.

01:03 And in order to get the z is less than negative 2.

01:07 So you can use table at this step, but i'm going to use the graphing display calculator application, the normal cdf.

01:13 There is no lower boundary.

01:14 I'm going to put a very small number...

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