Consider a standard normal distribution.Find the area between z = -0.95 and z = -0.34
Question
Consider a standard normal distribution.Find the area between z = -0.95 and z = -0.34
Solution
To find the area between z = -0.95 and z = -0.34 in a standard normal distribution, you need to use the Z-table or standard normal distribution table. This table gives the probability that a standard normal random variable Z is less than or equal to z.
Here are the steps:
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Look up the values for z = -0.95 and z = -0.34 in the Z-table.
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The value for z = -0.95 in the Z-table is 0.1711. This means that 17.11% of the data falls to the left of z = -0.95.
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The value for z = -0.34 in the Z-table is 0.3674. This means that 36.74% of the data falls to the left of z = -0.34.
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To find the area between z = -0.95 and z = -0.34, subtract the value for z = -0.95 from the value for z = -0.34.
So, 0.3674 - 0.1711 = 0.1963.
Therefore, the area between z = -0.95 and z = -0.34 in a standard normal distribution is 0.1963 or 19.63%.
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