Where \(X\) is normally distributed with a population mean \(\mu = 12\) and a population standard deviation \(\sigma = 3.5\)įirst, we corresponding \(z\) score so that the cumulative standard normal probability distribution is equal to \(0.45\). We need to find a score \(x\) so that the corresponding cumulative normal probability is equal to \(0.45\). Population Standard Deviation \((\sigma)\) = The following are the population mean \((\mu)\), population standard deviation \((\sigma)\) and cumulative probability provided: Find the score of the distribution such that 45% of scores of the population are to its left. Question: Assume that X has a normal distribution with a mean of 12, and a population standard deviation ofģ.5. Other graph creators that you could use are ourĮxample: Inverse Cumulative Normal distribution Inverse Cumulative Standard Normal Probability Calculator If you are dealing specifically with the standard normal distribution, you could check this
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