the normal distribution with mean 68 and standard deviation 16 is a good description of the iowa

Step 1: The event "the student chosen has a score of 8.4 or lower" in terms of X can be written

Question

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".

          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".

Added by Andre R.

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