Chapter 5: Q.5.5 (page 346)
What does the shaded area represent? P(___< x < ___)
Short Answer
The probability of the shaded region is.
Chapter 5: Q.5.5 (page 346)
What does the shaded area represent? P(___< x < ___)
The probability of the shaded region is.
All the tools & learning materials you need for study success - in one app.
Get started for freeUse the following information to answer the next seven exercises. A distribution is given as . Draw the distribution.
Suppose 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?
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. Find the average age of the cars in the lot.
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.
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. In words, define the random variable X.
What do you think about this solution?
We value your feedback to improve our textbook solutions.