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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Suppose X ~ N(9, 5). What value of x has a z-score of –0.5?
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 probability of spending more than two days in recovery?
a. 0.0580
b. 0.8447
c. 0.0553
d. 0.9420
In China, four-year-olds average three hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is hours and the amount of time spent alone is normally distributed. We randomly select one Chinese four-year-old living in a rural area. We are interested in the amount of time the child spends alone per day.
a. In words, define the random variable
b.
c. Find the probability that the child spends less than one hour per day unsupervised. Sketch the graph, and write the probability statement.
d. What percent of children spend over ten hours per day unsupervised?
e. Seventy percent of the children spend at least how long per day unsupervised?
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.
a. If distance in feet is for a fly ball, then
b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball will travel fewer than 220 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.
A The distance of fly balls hit to the outfield in baseball is denoted as:
B: The probability that a randomly selected fly ball traveled fewer than 220 feet is given by
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