I need the answer to this please?

Question

Determine the area under the standard normal curve that lies to the left of (a) Z=-1.67, (b) Z=-1.35, (c) Z=-1.69, and (d) Z=-0.93.

Answer 1

Hi Dylan,

"Area under the normal curve to the left" is equivalent to the probability of a value less than the corresponding z. You can find these on the z-table.

(a) P(Z< -1.67)=probability that z is less than -1.67 Looking at z-table, note that it gives values to the left of z, which is what your question asks. Then, look at the column for -1.6, then the row for 0.07:

P(Z<-1.67)=0.0475

We do the remaining parts the same way:

(b) P(Z< -1.35)=0.0885

(c) P(Z< -1.69)= 0.0455

(d) P(Z< -0.93)= 0.1762

I hope this helps.