Chapter 6: Q. 1 (page 385)
A bottle of water contains fluid ounces with a standard deviation of ounces. Define the random variable in words. ____________.
Short Answer
Ounces of water in the bottle
Chapter 6: Q. 1 (page 385)
A bottle of water contains fluid ounces with a standard deviation of ounces. Define the random variable in words. ____________.
Ounces of water in the bottle
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An expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed with a mean of days and a standard deviation of days. An alleged father was out of the country from to days before the birth of the child, so the pregnancy would have been less than days or more than days long if he was the father. The birth was uncomplicated, and the child needed no medical intervention. What is the probability that he was NOT the father? What is the probability that he could be the father? Calculate the localid="1653472319552" -scores first, and then use those to calculate the probability.
Find the 80th percentile.
Suppose . What value of is standard deviations to the left of the mean?
In the 1992 presidential election, Alaska’s 40 election districts averaged 1,956.8 votes per district for President Clinton.
The standard deviation was 572.3. (There are only 40 election districts in Alaska.) The distribution of the votes per district for President Clinton was bell-shaped. Let X = number of votes for President Clinton for an election district.
a. State the approximate distribution of X.
b. Is 1,956.8 a population mean or a sample mean? How do you know?
c. Find the probability that a randomly selected district had fewer than 1,600 votes for President Clinton. Sketch the graph and write the probability statement.
d. Find the probability that a randomly selected district had between 1,800 and 2,000 votes for President Clinton.
e. Find the third quartile for votes for President Clinton.
About what percent of values lie between the second and third standard deviations (both sides)?
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