Determine the following areas under the standard normal (z) curve. (a)to the left of  −1.26   (b)to the right of 1.26   (c)between  −2  and 1   (d)to the right of 0   (e)to the right of  −5   (f)between  −1.5  and 2.6   g)to the left of 0.23

The graph to the right depicts IQ scores of​ adults, which are normally distributed with a mean of 100 and a standard deviation of 15.   Find the indicated IQ​ score, labeled X on the​ graph, such that the area to the right of X is 0.65.

​(a) The figure to the right represents the normal curve with μ=266 days and σ=16 days. The area to the left of X=245 is 0.0947. Provide two interpretations of this area.   Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. ​(Type integers or​ decimals.)   A. The proportion of human pregnancies that last more than nothing days is nothing.   B. The proportion of human pregnancies that last less than nothing days is nothing.

B- For the following data, find f '(2.55), f '(2.7), and f '(2.65) by using the appropriate formula in below for each one. (15Mark) 37 2 X 2.5 Y 1.58114 2.55 1.59687 2.6 2.65 2.7 2.75 1.61245 1.62788 1.64317 1.65831 f₁ = Ji-1+1+1 2h .fi = -6fi-1+20fi+36fi+1-12fi+2+2fi+3 24h fi = fi-2-8fi-1+8fi+1-fi+2 12h