The effect of changing the standard deviation. (a) Sketch a Normal curve that has mean 10 and standard deviation 3. (b) On the same x axis, sketch a Normal curve that has mean 10 and standard deviation 1. (c) How does the Normal curve change when the standard deviation is varied but the mean stays the same?

See explanation below.

Step-by-step explanation:

Part a

We can use the following R code:

> x <- seq(0, 20, length=1000)  # Generate 1000 sample between 0 and 20

> y <- dnorm(x, mean=10, sd=3)   # Generate the probability density values for each value in the vector x defined with mean = 10 and sd= 3

Part b

> y1<-dnorm(x, mean=10,sd=1)  # Generate the probability density values for the normal distribution with mean 10 and sd =1

> plot(x, y1, type="l", lwd=1, col="green")   # Plot the density function for the normal distribution with mean =10 and sd =1

We can see on the figure attached that the green line represent

> lines(x,y, col="red")

And the red line would represent the

Part c

As we can see when we reduce the deviation the spread of the distribution is lower, and we have most of the values near to the mean, and in the other case when the deviation increases we have more spread on the distribution with the values more dispersed in the x axis.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column