Question

PLEASE HELP WITH BOTH OF THESE ASAP!

Answer 1

Hello,

Explanation:

`\overline{x}=3262\\\sigma=1100\\\\P(x\geq 1000)=P(x\leq 3262+(3262-1000))=P(x\leq 5524)\\\\z=\frac{x-\overline{x}}{\sigma} =(5524-3262)/(1100) =2.05\overline{63}\\\\\\P(z\leq 2.05)=0.9789\\\\P(z\leq 2.06)=0.9803\\\\\\\boxed{0.9789\leq P\leq 0.9803}\\\\\\`

`P(x\leq 4000)=P(z\leq (4000-3262)/(1100) )=P(z\leq 0.67\overline{09})\\\\P(z\leq 0.67)=0.7486\\P(z\leq 0.68)=0.7517\\\\0.7486\leq P\leq 0.7517\\`