Calculating the Probability of Obtaining a Z Value Between -1.9 and 1.7 in a Standard Normal Distribution

For a standard normal distribution, the probability of obtaining a z value between -1.9 and 1.7 is

To find the probability of obtaining a z value between -1

To find the probability of obtaining a z value between -1.9 and 1.7 in a standard normal distribution, we need to calculate the area under the curve between these two z-values.

First, we need to find the corresponding areas for each z-value. We can use a standard normal distribution table or a calculator to find the area to the left of each z-value.

For z = -1.9:
Using a standard normal table or a calculator, we find that the area to the left of z = -1.9 is approximately 0.0287.

For z = 1.7:
Using a standard normal table or a calculator, we find that the area to the left of z = 1.7 is approximately 0.9554.

To find the probability of obtaining a z value between -1.9 and 1.7, we subtract the area to the left of -1.9 from the area to the left of 1.7:

P(-1.9 ≤ z ≤ 1.7) = area to the left of 1.7 – area to the left of -1.9
= 0.9554 – 0.0287
= 0.9267

Therefore, the probability of obtaining a z value between -1.9 and 1.7 in a standard normal distribution is approximately 0.9267.

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