Given that z is a standard normal random variable, compute the following probabilities. a. P(z ≤ -0.71)
b. P(z ≤ 1.82)
c. P(z ≥ -0.71)
d. P(z ≥ 1.22)
e. P( –1.71 ≤ z ≤ 2.88)
f. P( 0.56 ≤ z ≤ 1.07)
g. P( –1.65 ≤ z ≤ –1.65)

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

f is the midpoint of

addition

step-by-step explanation: