The amount of jen's monthly phone bill is normally distributed with a mean of $76 and a standard deviation of $9. what percent of her phone bills are between $49 and $103

To solve this problem, we make use of the z statistic. The formula for z score is:

z = (x – u) / s

where x is sample value, u is the mean and s is the standard deviation

 

z (x = 49) = (49 – 76) / 9 = -3

Using the standard tables, P (z = -3) = 0.0013

 

z (x = 103) = (103 – 76) / 9 = 3

Using the standard tables, P (z = 3) = 0.9987

 

Hence,

P (-3 <= z <=3) = 0.9987 – 0.0013 = 0.9974

 

Therefore 99.74%

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.

You can find it by multiplying the areas it show u