Question

Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable $x$ is normally distributed. Standardized Test Composite Scores $27 < x < 33$ $\mu = 19.9$ $\sigma = 5.3$ 27 33 Score The probability that the member selected at random is from the shaded area of the graph is (Round to four decimal places as needed.)

          Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable $x$ is normally distributed.
Standardized Test Composite Scores
$27 < x < 33$
$\mu = 19.9$
$\sigma = 5.3$
27
33
Score
The probability that the member selected at random is from the shaded area of the graph is  (Round to four decimal places as needed.)

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Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed.
Standardized Test Composite Scores
27 < x < 33
μ = 19.9
σ = 5.3
27
33
Score
The probability that the member selected at random is from the shaded area of the graph is (Round to four decimal places as needed.)

Added by Teresa C.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

08/14/2023

Step 1

Given: Mean (μ) = 27 Standard Deviation (σ) = 5.3 To calculate the z-score for x = 27: z = (x - μ) / σ z = (27 - 27) / 5.3 z = 0 To calculate the z-score for x = 33: z = (x - μ) / σ z = (33 - 27) / 5.3 z = 1.1321 Show more…

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Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. Standardized Test Composite The probability that the member selected at random is from the shaded area of the graph is (Round to four decimal places as needed.) Clean all 9 27 < x < 33 Score 27 Scores Standardized Test Composite Final check 33 = 5.3 = 19.9 0 ct: 5

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