Asked Apr 26, 2019

The random sample X is normally distributed with mean 50 and standard deviation 18. If n=324, compute the following probabilities:

  1. P(≥ 48) is:

Expert Answer

Step 1


Let X be the random variable normally distributed with mean 50 and standard deviation 18.

Let X-bar be the sample mean and we have to find the probability that P(X-bar ≥ 48).

Since the sample size n = 324 is large, by Central Limit Theorem, the sample mean is approximately normally distributed with

Step 2

The required probability is ...


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