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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About what percent of values lie between the first and third standard deviations(both sides)?
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
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?
Use the information in Example 6.10 to answer the following questions.
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of five minutes and a standard deviation of two minutes.
Find the probability that it takes at least eight minutes to find a parking space.
a. 0.0001
b. 0.9270
c. 0.1862
d. 0.0668
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