Chapter 5: Q.57 (page 351)
Use the following information to answer the next seven exercises. A distribution is given as What is the probability density function?
Short Answer
The value probability density function of is
Chapter 5: Q.57 (page 351)
Use the following information to answer the next seven exercises. A distribution is given as What is the probability density function?
The value probability density function of is
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Get started for freeSuppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to eight minutes.
a. Define the random variable.= ________________.
b. Is continuous or discrete?
c. ________
d. ________
e.________
f. Draw a graph of the probability distribution. Label the axes.
g. Find the probability that a phone call lasts less than nine minutes.
h. Find the probability that a phone call lasts more than nine minutes.
i. Find the probability that a phone call lasts between seven and nine minutes.
j. If phone calls are made one after another, on average, what would you expect the total to be? Why?
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 ?
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 m? What does it represent?
Carbon-14 is a radioactive element with a half-life of about
5,730 years. Carbon-14 is said to decay exponentially. The decay rate is 0.000121. We start with one gram of carbon-14.
We are interested in the time (years) it takes to decay carbon-14. What is the decay rate (m)?
Use the following information to answer the next ten questions. The data that follow are the square footage (in feet squared) of homes
The sample mean and the sample standard deviation The distribution can be written as
In this distribution, outcomes are equally likely. What does this mean?
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