Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true.=P>Zc0.1660Round your answer to two decimal places.
Question
Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true.=P>Zc0.1660Round your answer to two decimal places.
Solution
To find the value of c for which P(Z > c) = 0.1660 in a standard normal distribution, we need to look at the Z-table or use a calculator that can compute values from the standard normal distribution.
The Z-table is a table that gives the probability that a standard normal random variable Z is less than a given value. Since we want P(Z > c), we need to find 1 - P(Z < c) = 0.1660.
So, we need to find P(Z < c) = 1 - 0.1660 = 0.8340.
Looking at the Z-table or using a calculator, we find that the value of c that corresponds to a probability of 0.8340 is approximately 0.97.
So, c = 0.97.
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