A normally distributed population has a mean of 61 and a standard deviation of 8. Find the probabilities in Parts a through d. Please submit your answers to four decimal places (e.g., .1234). Part a: p(X > 66) = Part b: p(X < 55) = Part c: p(X < 70) = Part d: p(51 < X < 73) =
Added by Francisco Jose M.
Step 1
Given: Mean (μ) = 61 Standard deviation (σ) = 8 a) p(X > 66) Convert 66 to a z-score: z = (66 - 61) / 8 z = 0.625 b) p(X < 55) Convert 55 to a z-score: z = (55 - 61) / 8 z = -0.75 c) p(X < 70) Convert 70 to a z-score: z = (70 - 61) / 8 z = 1.125 d) p(51 < X < Show more…
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