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swat32
3 years ago
14

Basic Computation: Finding Probabilities, let z be a random variable with a standard normal distribution. Find the indicated pro

bability, and shade the corresponding area under the standard normal curve.
P(-1.20 = z = 2.64)
Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

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.

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