below is a graph of a normal distribution with mean 4 and standard deviation 2 the shaded region

Step 1: Convert the given values to z-scores using the formula z = (x - μ) / σ, where x is the v

Below is a graph of a normal distribution with mean 4 and...

Below is a graph of a normal distribution with mean μ=4 and standard deviation σ=2. The shaded region represents the probability of obtaining a value from this distribution that is between 6 and 7. 0.4- 0.3+ 0.2+ 0.1+ Shade the corresponding region under the standard normal curve below. 0 0.3- 0.2- 0.1+ X Below is a graph of a normal distribution with mean μ=4 and standard deviation σ=2. The shaded region represents the probability of obtaining a value from this distribution that is between 6 and 7. Shade the corresponding region under the standard normal curve below.

Transcript

00:01 Hello students, we are going to write here normal distribution is given with mean value is given, standard deviation is given, we need to find shaded a reason that represent the probability of obtaining a value from distribution is between minus 4 and minus 1.

00:16 So we are going to write here this is our normal distribution and in the normal distribution all the random variables are distributed amongst bell shaped curve.

00:28 We need our data in the z form which is z.

00:31 Score as x minus mu divided by sigma.

00:35 So corresponding z1 value which is corresponding to x1 value, this is minus 4 minus.

00:44 So this must be minus 3 and we are going to write here for this, this must be written as sigma, sigma value is 2 which is minus 1 divided by 2.

00:59 We are going to write here for this.

01:02 This must be minus 1 divided by 2, which is minus 0 .5.

01:08 So we are going to write here what would be our z2 value.

01:12 Z2 value is minus 1, minus of minus 3 divided by 2.

01:19 So let's erase this.

01:20 To make it more clear, to make it more clear, we are going to write here for this minus 1 plus 3, which is 2 divided by 2, that is equivalent to 1.

01:34 So this must be written as we are going to write here for this.

01:38 This is our z curve, which must be equivalent to, we are going to write here for this, this must be equivalent to z, and this is minus z, this is probability of pz, right -hand side area is 0 .5.

01:59 So we need to write according to this, not this.

02:02 We are going to write correspondence to this...

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