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Find the probability using the normal distribution: P (z > 2.07). Use the standard normal distribution and enter the answer to 4 decimal places.

User Derryck
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Final answer:

The probability of a z-score being greater than 2.07 is calculated by finding the area under the normal curve to the right of z = 2.07 and can be determined using z-tables or statistical functions on calculators.

Step-by-step explanation:

The student is asking about the probability of a z-score being greater than 2.07 in a standard normal distribution. This probability corresponds to the area under the normal curve to the right of z = 2.07.

Since z-tables typically provide the cumulative area to the left of a given z-score, you would subtract this value from 1 to find the area to the right. For z = 2.07, using a standard z-table or a calculator's normal distribution function, you can find this area.

However, since precise area values are not provided in the original context, one needs to use such tools to calculate the actual probability. For example, you can use the command invNorm(1-0.9500) on a TI-83/84 calculator to find the z-score associated with the right tail area of 0.05, and then use similar steps to find the area for z > 2.07.

User Kenneth Garza
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