Basic Computation: Finding Probabilities, let z be a random variable with a standard normal distribution. Find the indicated probability, and shade the corresponding area under the standard normal curve. P(-1.20 = z = 2.64)

0.8808

Step-by-step explanation:

The objective is to calculate the probability of:

P(-1.20 ≤ z ≤ 2.64)

i.e. the probability that is the area between two z-values.

Thus;

P(-1.20 ≤ z ≤ 2.64) = P(z ≤ 2.64) - P( z ≤ 1.20)

From z table;

P(-1.20 ≤ z ≤ 2.64) = 0.9959 - 0.1151

P(-1.20 ≤ z ≤ 2.64) = 0.8808

We can see the shaded area under the standard normal curve from the image attached below.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9