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R programing question Generate two vectors x and y of length B=10000 so that each of...

R programing question

Generate two vectors x and y of length B=10000 so that each of the entries is independent, with Xi ~ N(0,1) and Yi ~ N(1,4) for i=1,2,...,10000

Expert Solution

ANSWER:

Given that,

length B=10000 // that each of the entries is independent, with Xi ~ N(0,1) and Yi ~ N(1,4) for i=1,2,...,10000

R programing,

B=10000

x=rnorm(B)

y=rnorm(B,1,4)

hist(x,main=“Histogram of x”)

hist(y,xlim=c(-15,15),main="Histogram of y")

Explanation of the R programing:----

Ø Here B is sample size that is 10000

Ø X=rnorm(B) means x is a vector of sample size B from normal distribution with mean=0 and variance=1

Ø y=rnorm(B,1,4) means y is a vector of sample size B from normal distribution with mean=1 and variance=4

Ø hist(x,main=“Histogram of x”) is histogram of x

Ø hist(y,xlim=c(-15,15),main="Histogram of y") is histogram of y

Generate two vectors x and y:

> B=10000

> x=rnorm(B)

> y=rnorm(B,1,4)

> hist(x,main=“Histogram of x”)

> hist(y,xlim=c(-15,15),main="Histogram of y")

Here Histogram of x is centered at zero whereas Histogram of y is centered at 1.

Spread of histogram of y is greater than that of x because for x variance is 1 and that of y is 4 therefore as variance increases spread increases.

venereology answered 6 months ago

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