Chapter 5: Q.5.28 (page 348)
Use the following information to answer the next eight exercises. A distribution is given as .
What is the probability density function?
The probability density function is.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Find the amount (percent of one gram) of carbon-14 lasting less than 5,730 years. This means, find P(x < 5,730).
a. Sketch the graph, and shade the area of interest
b. Find the probability. P(x < 5,730) = __________
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
On average, a pair of running shoes can last 18 months if used every day. The length of time running shoes last is exponentially distributed. What is the probability that a pair of running shoes last more than 15 months? On average, how long would six pairs of running shoes last if they are used one after the other? Eighty percent of running shoes last at most how long if used every day?
The decay rate is
a.
b.
c.
d.
Suppose that the value of a stock varies each day from with a uniform distribution.
a. Find the probability that the value of the stock is more than .
b. Find the probability that the value of the stock is between role="math" localid="1648188993020" .
c. Find the upper quartile - of all days the stock is above what value? Draw the graph.
d. Given that the stock is greater than , find the probability that the stock is more than .
What do you think about this solution?
We value your feedback to improve our textbook solutions.
