Given a normal distribution with µ = 55 and ? = 4, complete parts (a) through (d). a. What is the probability that X > 49? P(X > 49) = (Round to four decimal places as needed.) b. What is the probability that X < 51? P(X < 51) = (Round to four decimal places as needed.) c. For this distribution, 7% of the values are less than what X-value? X = (Round to the nearest integer as needed.) d. Between what two X-values (symmetrically distributed around the mean) are 60% of the values? For this distribution, 60% of the values are between X = and X = . (Round to the nearest integer as needed.)
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The z-score formula is: z = (X - μ) / σ where μ is the mean (55) and σ is the standard deviation (unknown). a) P(X > 49) Show more…
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