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Chapter 5: Q.5.30 (page 348)
Use the following information to answer the next eight exercises. A distribution is given as .
What is the theoretical standard deviation?
The theoretical standard deviation is.
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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.
What is the probability that a phone will fail within two years of the date of purchase?
a.
b.
c.
d.
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. The distribution for X is ______.
For a continuous probability distribution, . What is ?
Suppose that the longevity of a light bulb is exponential with a mean lifetime of eight years. If a bulb has already lasted 12 years, find the probability that it will last a total of over 19 years.
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