In Exercises 3–6, give the percent of the area under the normal curve represented by the shaded region(s).
3.
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5.
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In Exercises 13–18, a normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x-value from the distribution is in the given interval.
13. between 29 and 37
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17. at most 37
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21. ERROR ANALYSIS A normal distribution has a mean of 25 and a standard deviation of 2. Describe and correct the following error in finding the probability that a randomly selected x-value is in the given interval.
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25. Determine whether the following histogram has a normal distribution. (See Example 4.)
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25.
Graph the function. Identify the x-intercepts and the points where the local maximums and local minimums occur. Determine the intervals for which the function is increasing or decreasing. 39. h(x) = -0.5x^2 + 3x + 7. List the minimum/maximum and the intervals where repeating.