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Chapter 5: Q. 41 (page 349)
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.
Average Car in the lot is 5
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The percent of persons (ages five and older) in each state who speak a language at home other than English is approximately exponentially distributed with a mean of . Suppose we randomly pick a state.
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 percent is less than .
h. Find the probability that the percent is between eight and .
i. The percent of all individuals living in the United States who speak a language at home other than English is .
i. Why is this number different from ?
ii. What would make this number higher than ?
According to the American Red Cross, about one out of nine people in the U.S. have Type B blood. Suppose the blood types of people arriving at a blood drive are independent. In this case, the number of Type B blood types that arrive roughly follows the Poisson distribution.
a. If people arrive, how many on average would be expected to have Type B blood?
b. What is the probability that over people out of these 100 have type B blood?
c. What is the probability that more than people arrive before a person with type B blood is found?
In a small city, the number of automobile accidents occur with a Poisson distribution at an average of three per week.
a. Calculate the probability that there are at most accidents occur in any given week.
b. What is the probability that there is at least two weeks between any accidents?
Find the probability that falls in the shaded area.
Use the following information to answer the next three exercises.
The Sky Train from the terminal to the rental鈥揷ar and long鈥搕erm parking center is supposed to arrive every eight minutes. The waiting times for the train are known to follow a uniform distribution.
The probability of waiting more than seven minutes given a person has waited more than four minutes is?
a.
b.
c.
d.
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