Chapter 5: Q.91 (page 356)
The decay rate is
a.
b.
c.
d.
The correct answer is Option (a).
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The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution with the average amount of time equal to eight minutes. Write the distribution, state the probability density function, and graph the distribution.
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
What type of distribution is this?
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 being measured here?
Which type of distribution does the graph illustrate?
Suppose that on a certain stretch of highway, cars pass at an average rate of five cars per minute. Assume that the duration of time between successive cars follows the exponential distribution.
a. On average, how many seconds elapse between two successive cars?
b. After a car passes by, how long on average will it take for another seven cars to pass by?
c. Find the probability that after a car passes by, the next car will pass within the next 20 seconds.
d. Find the probability that after a car passes by, the next car will not pass for at least another 15 seconds.
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