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Let z be a standard normal random variable. Using the standard normal tables, calculate the probability that 1/z is less than 1?

User Einat
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Final answer:

The probability that 1/z is less than 1 can be calculated by finding the area under the standard normal curve. Using the z-table, the probability is approximately 0.1587.

Step-by-step explanation:

The probability can be calculated by finding the area under the standard normal curve. To do this, we need to calculate the z-score and look it up in the z-table to find the corresponding area.

In this case, we want to find the probability that 1/z is less than 1. This is equivalent to finding the probability that z is greater than 1. We can calculate the area to the left of z using the z-table and subtract it from 1 to find the area to the right of z. This will give us the desired probability.

Using the standard normal table, the area to the left of z=1 is approximately 0.8413. Subtracting this from 1, we get the area to the right of z=1, which is approximately 0.1587. Therefore, the probability that 1/z is less than 1 is approximately 0.1587.

User Sandeep Nambiar
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