Chapter 6: Q. 48 (page 387)
If the area to the left of in a normal distribution is , what is the area to the right of ?
Short Answer
The area to the right of theis
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Chapter 6: Q. 48 (page 387)
If the area to the left of in a normal distribution is , what is the area to the right of ?
The area to the right of theis
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Two thousand students took an exam. The scores on the exam have an approximate normal distribution with a mean points and standard deviation points.
a. Calculate the first- and third-quartile scores for this exam.
b. The middle of the exam scores are between what two values?
About what percent of values lie between the mean and three standard deviations?
IQ is normally distributed with a mean of and a standard deviation of . Suppose one individual is randomly chosen. Let of an individual.
a.
b. Find the probability that the person has an IQ greater than . Include a sketch of the graph, and write a probability statement
c. MENSA is an organization whose members have the top of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. Sketch the graph, and write the probability statement.
d. The middle of IQs fall between what two values? Sketch the graph and write the probability statement.
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of feet and a standard deviation of feet.
a. If distance in feet for a fly ball, then (------)
b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than feet? Sketch the graph. Scale the horizontal axis . Shade the region corresponding to the probability. Find the probability.
c. Find the percentile of the distribution of fly balls. Sketch the graph, and write the probability statement.
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days.
What is the z-score for a patient who takes ten days to recover?
a. 1.5
b. 0.2
c. 2.2
d. 7.3
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