Chapter 5: Q.91 (page 356)
The decay rate is
a.
b.
c.
d.
The correct answer is Option (a).
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Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay parameter . Let X = the distance people are willing to commute in miles. What is m, μ, and σ? What is the probability that a person is willing to commute more than 25 miles?
The data that follow are the square footage (in 1,000 feet squared) of 28 homes.
The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as .
Find the probability that a randomly selected home has more than square feet given that you already know the house has more than square feet.
Use the following information to answer the next three exercises.
The Sky Train from the terminal to the rental–car and long–term parking center is supposed to arrive every eight minutes. The waiting times for the train are known to follow a uniform distribution.
80. Find the percentile for the waiting times (in minutes).
a. two
b.
c.
d. three
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?
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 .
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