A population of values has a normal distribution with μ=138.1 and σ=71.5. You intend to draw a random sample of size n=193. Find the probability that a single randomly selected value is greater than 124.7. P(X > 124.7) = ________ Find the probability that a sample of size n=193 is randomly selected with a mean greater than 124.7. P(M > 124.7) = _________ Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
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7. The z-score is calculated as: z = (X - μ) / σ For the given problem, X = 124.7, μ = 138.1, and σ = 71.5. Plugging these values into the formula, we get: z = (124.7 - 138.1) / 71.5 ≈ -0.188 Now, we need to find the probability that a single randomly selected Show more…
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