Chapter 5: Q. 73 (page 352)
For each probability and percentile problem, draw the picture.
When age is rounded to the nearest year, do the data stay continuous, or do they become discrete? Why?
The data remains continuous because it cannot be approximated.
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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 .
Find the probability that a randomly selected home has more than square feet given that you already know the house has more than square feet.
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:
Are outcomes equally likely in this distribution? Why or why not?
Use the following information to answer the next eleven exercises. The age of cars in the staff parking lot of a suburban college is uniformly distributed from six months (0.5 years) to 9.5 years.
Write the probability density function
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
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