Question

Suppose

X ~ N(4, 3).

What value of x is two standard deviations to the right of the mean? (Enter an exact number as an integer, fraction, or decimal.)
x =

Suppose X ~ N(?1, 2). What is the z-score of x = 4? (Enter an exact number as an integer, fraction, or decimal.)

z =

Answer 1

Q.1) suppose X ~ N(4, 3)

Where, mean = 4 and standard deviation = 3

The value of X is two standard deviations to the right of the mean is,

X = 10

Q.2) Suppose X ~ N(-1, 2)

where, mean = -1 and standard deviation = 2

We want to find, the z-score of X = 4 is,

Z = 2.5