STAT 401 - Assignment IV\ Due Date: January

4^(sh ),2024

\ Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and shade in the area that corresponds to the probability of interest.\

ZNorm(0,1)

, find

Pr(Z

)

(

1.78)-x_(pt)

\

ZNorm(0,1)

, find

Pr(Z

)

>

(

1.96)-(1)/(2)pt

\

ZNorm(0,1)

, find

Pr(-2.34

)

(

1.45)-(1)/(2)pt

\

ZNorm(0,1)

, find

Pr(Z

)

(

-0.67)-(1)/(4)

pt\

ZNorm(0,1)

, find

Pr(Z

)

=

(

2.3)-(1)/(p)t

\

ZNorm(0,1)

, find

Pr(Z

)

>=

(

-2.98)-(1)/(2)

pt\ Do the same for the following below. Note however that they are no longer Standard Normal Distributions.\

xNorm(266,16^(2))

, find

Pr(x

)

(

200)-xpt

\

x^()Norm(-2,5^(2))

, find

xNorm(-2,5^(2))Pr(x

)

=

(

-3)-xptxNorm(64.4,2.4^(2))Pr(|x|

)

>

(

70)-1

Due Date: January 4m,2024 Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and shade in the area that corresponds to the probability of interest. 1) ZNorm(0,1), find Pr(Z1.78)Ypt 2) zNorm(0,1), find Pr(z>1.96)1/2pt 3) ZNorm(0,1), find Pr(2.34Z70)1 pt