ITBS scores The Normal distribution with mean $\mu=6.8$ and standard deviation $\sigma=1.6$ is a good description of the lowa Test of Basic Skills (ITBS) vocabulary scores of seventh-grade students in Gary, Indiana. Call the score of a randomly chosen student $X$ for short. Find $P(X \geq 9)$ and interpret the result. Follow the four-step process.
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The mean of the ITBS vocabulary scores of seventh-grade students in Gary, Indiana is $\mu=6.8$ and the standard deviation is $\sigma=1.6$. Show more…
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The Normal distribution with mean μ μ = 6.8 and standard deviation σ σ = 1.6 is a good description of the Iowa Test vocabulary scores of seventh grade students in Gary, Indiana. This is a continuous probability model for the score of a randomly chosen student. Figure 3.1 (p. 68) pictures the density curve. Call the score of a randomly chosen student X for short. Note: If necessary, use <= to represent ≤ ≤ and >= to represent ≥ ≥ . (a) Write the event "the student chosen has a score of 6.8 or lower" in terms of X. (b) Find the probability of an event which represents "the student chosen has a score of 6.8 or lower"
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