Chapter 6: Q 16 (page 385)
Suppose X ~ N(8, 1). What value of x has a z-score of –2.25?
Short Answer
The value of is
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Chapter 6: Q 16 (page 385)
Suppose X ~ N(8, 1). What value of x has a z-score of –2.25?
The value of is
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How would you represent the area to the left of one in a probability statement?

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?
In a normal distribution, x = 5 and z = –1.25. This tells you that x = 5 is ____ standard deviations to the ____ (right or left) of the mean.
Use the following information to answer the next four exercises:
Find the probability that
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days.
a. In words, define the random variable X.
b. X ~ _____(_____,_____)
c. If one of the trials is randomly chosen, find the probability that it lasted at least 24 days. Sketch the graph and write the probability statement.
d. Sixty percent of all trials of this type are completed within how many days?
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