Chapter 5: Q.5.9 (page 346)
A continuous probability function is restricted to the portion between x = 0 and 7. What is P(x = 10)?
Short Answer
The value of the iszero.
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Chapter 5: Q.5.9 (page 346)
A continuous probability function is restricted to the portion between x = 0 and 7. What is P(x = 10)?
The value of the iszero.
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The time (in years) after reaching age that it takes an individual to retire is approximately exponentially distributed with a mean of about five years. Suppose we randomly pick one retired individual. We are interested in the time after age
to retirement.
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 the person retired after age .
h. Do more people retire before age or after age ?
i. In a room of people over age , how many do you expect will NOT have retired yet?
What is the median lifetime of these phones (in years)?
a.
b.
c.
d.
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.
Considering only the cars less than 7.5 years old, find the probability that a randomly chosen car in the lot was less than four years old.
a. Sketch the graph, shade the area of interest.
b. Find the probability
The number of miles driven by a truck driver falls between , and follows a uniform distribution.
a. Find the probability that the truck driver goes more than miles in a day.
b. Find the probability that the truck drivers goes between miles in a day.
c. At least how many miles does the truck driver travel on the furthest of days?
,a continuous probability function, is equal to and the function is restricted to . What is ?
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