Chapter 5: Q.5.4 (page 345)
What does the shaded area represent? P(___< x < ___)

Short Answer
The shaded region represents the probability.
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Chapter 5: Q.5.4 (page 345)
What does the shaded area represent? P(___< x < ___)

The shaded region represents the probability.
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Use the following information to answer the next ten exercises. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution:
What is the mean?
Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to follow a uniform distribution from one to 53 (spread of 52 weeks).
a. X ~ _________
b. Graph the probability distribution.
c. f(x) = _________
d. ì = _________
e. ó = _________
f. Find the probability that a person is born at the exact moment week 19 starts. That is, find P(x = 19) = _________
g. P(2 < x < 31) = _________
h. Find the probability that a person is born after week 40.
i. P(12 < x|x < 28) = _________
j. Find the 70th percentile.
k. Find the minimum for the upper quarter
A distribution is given as . What is ? Find thepercentile.
The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as .
What is ?
Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay parameter . Let X = the distance people are willing to commute in miles. What is m, μ, and σ? What is the probability that a person is willing to commute more than 25 miles?
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