9. (11.17) The Normal distribution with mean μ = 6.8 and standard deviation 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. The density curve is shown below. Call the score of a randomly chosen student X for short. What is the probability (±0.01) of event "the student chosen has a score of 10.3 or higher"
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Draw the density curve for the Normal distribution with mean of 6.8 and standard deviation of 1.6. Show more…
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The Normal distribution with mean μ = 6.8 and standard deviation 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. 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 8.4 or lower" in terms of X. (b) Find the probability of an event which represents "the student chosen has a score of 8.4 or lower".
David N.
Distribution of Iowa Test vocabulary scores for seventh-grade students in Gary, Indiana, is close to Normal. Suppose that the distribution is exactly Normal with mean 6.84 and standard deviation 1.55. (These are the mean and standard deviation of the 947 actual scores.) Use the 68–95–99.7 rule to the Iowa Test scores.
Rashmi S.
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