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Find the area in % form. Use 2 decimal places.P (z ≤ -2.3)

Question

Find the area in % form. Use 2 decimal places.P (z ≤ -2.3)

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Solution

To find the area to the left of z = -2.3 on a standard normal distribution (which is what P(z ≤ -2.3) is asking for), you would typically use a z-table or a calculator with a normal distribution function.

Here are the steps:

  1. Identify the z-score: In this case, the z-score is -2.3.

  2. Look up the z-score in the z-table: The z-table shows the cumulative probability from the mean (0) up to your z-score. However, because our z-score is negative, we're looking for the probability from the z-score up to the mean.

  3. Find the corresponding probability: For z = -2.3, the corresponding probability is 0.0107. This means that 1.07% of the data falls to the left of z = -2.3.

So, P(z ≤ -2.3) = 1.07%.

This problem has been solved

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