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Chapter 6: Q6.10 (page 260)
Given that 33.6% of all possible observations of the variable exceed 8, determine the area under the density curve that lies to the
a. right of 8
b. left of 8
Area of the density curve, that lies to the right of
Area of the density curve, that lies to the left of
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Low Birth Weight The University of Maryland Medical Center considers “low birth weights” to be those that are less than 5.5 lb or 2495 g. Birth weights are normally distributed with a mean of 3152.0 g and a standard deviation of 693.4 g (based on Data Set 4 “Births” in Appendix B).
a. If a birth weight is randomly selected, what is the probability that it is a “low birth weight”?
b. Find the weights considered to be significantly low, using the criterion of a birth weight having a probability of 0.05 or less.
c. Compare the results from parts (a) and (b).
Standard normal distribution, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, Draw a graph, then find the probability of the given bone density test score. If using technology instead of Table A-2, round answers to four decimal places.
Less than 0
Standard Normal DistributionIn Exercises 17–36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph, then find the probability of the given bone density test scores. If using technology instead of Table A-2, round answers
to four decimal places.
Between -2.75 and -0.75.
In Exercises 9–12, find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.
Standard normal distribution, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, Draw a graph, then find the probability of the given bone density test score. If using technology instead of Table A-2, round answers to four decimal places.
Greater than 0
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