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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

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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:

  1. Look up the values for z = -0.95 and z = -0.34 in the Z-table.

  2. 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.

  3. 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.

  4. 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%.

This problem has been solved

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