# IE 323 – Fall 2019

*ASSIGNMENT
#1*

**Remember…you are expected to do the textbook problems,
but they do not have to be turned in.
Only turn in the answers to the questions below.**

- For each of the
following, find the appropriate value for
*k*and draw the corresponding graph (with the correct area under the curve shaded):

- P(-2.2 <
*Z*<*k*) = 0.8943- P(
*Z*>*k*) = 0.0392

- P(
*Z*<*k*) = 0.1736

- P(

- Using the
*T*distribution, find the following and draw the corresponding graph (with the correct area under the curve shaded) :

- P(
*T*> 2.101) when ν = 18. - P(-0.856 <
*T*< 2.787) when ν = 25. - P(
*T*< -1.833) when ν = 9.

- Using the
*χ*distribution, find the following and draw the corresponding graph (with the correct area under the curve shaded) :^{2}

- P(
*χ*<_{α}^{2 }*χ*< 22.307 ) = 0.875 when ν = 15^{2 } - P(
*χ*>^{2 }*χ*) = 0.025 when ν = 30._{α}^{2} - P(
*χ*<^{2 }*χ*) = 0.025 when ν = 30._{α}^{2}

- For an
*F*distribution, find the following and draw the corresponding graph (with the correct area under the curve shaded) : - P (
*F*³*f*) = 0.99 with n_{1}= 8 and n_{2}= 15. - P (
*F*³*f*) = 0.05 with n_{1}= 7 and n_{2}= 10. *f*_{0.95 }(6, 10)- P (
*F*³ 4.16) with n_{1}= 12 and n_{2}= 12.