Suppose x1xn are iid where each xin2518 and n7 determine

Question

Suppose {Z1,...,Zn} are i.i.d., where each Zi~N(0,1), and n=7. Determine Pr[ Z-bar ≤ .8].

Suppose {Z1,...,Zn} are i.i.d., where each Zi~N(0,1), and n=7. Determine Pr[ Z-bar> .8].

Suppose {Z1,...,Zn} are i.i.d., where each Zi~N(0,1), and n=7. Determine Pr[-.6 < Z-bar≤ .8].

Suppose {Z1,...,Zn} are i.i.d., where each Zi~N(0,1), and n=7. Determine Pr[-.6 < Z-bar ≤ .8 | -1 < Z-bar ≤ 1].

Suppose {X1,...,Xn} are i.i.d., where each Xi~N(25,18), and n=7. Determine Pr[X¯≤ 27].

Suppose {X1,...,Xn} are i.i.d., where each Xi~N(25,18), and n=7. Determine Pr[ X¯> 27].

Suppose {X1,...,Xn} are i.i.d., where each Xi~N(25,18), and n=7. Determine Pr[22< X¯≤ 26].

Suppose {Z1,...,Zn} are i.i.d., where each Zi~N(0,1), and n=7. What is the probability that they all yield values less than 1.8?