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≤Zc0.8133Carry your intermediate computations to at least four decimal places. Round 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≤Zc0.8133Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.
Solution
To find the value of c for which P(Z ≤ c) = 0.8133, you need to refer to the standard normal distribution table or use a calculator with a built-in function for the standard normal distribution.
The standard normal distribution table lists probabilities P(Z ≤ c) for different values of c. You need to find the value of c for which the probability is closest to 0.8133.
If you are using a calculator with a built-in function for the standard normal distribution, you can use the inverse of the cumulative distribution function (also known as the quantile function or the percent-point function). This function gives the value of c for which the cumulative distribution function is a given value.
In this case, you would use the inverse of the cumulative distribution function with a value of 0.8133 to find the value of c.
After performing these calculations, you should round your answer to two decimal places.
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