Chapter 5: Q. 5.3 (page 320)
A distribution is given as . What is ? Find thepercentile.
Short Answer
The value of is .
The value of the percentile is.
Chapter 5: Q. 5.3 (page 320)
A distribution is given as . What is ? Find thepercentile.
The value of is .
The value of the percentile is.
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Get started for freeUse the following information to answer the next ten exercises. A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution:
What is m? What does it represent?
Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to eight minutes.
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 a phone call lasts less than nine minutes.
h. Find the probability that a phone call lasts more than nine minutes.
i. Find the probability that a phone call lasts between seven and nine minutes.
j. If phone calls are made one after another, on average, what would you expect the total to be? Why?
In major league baseball, a no-hitter is a game in which a pitcher, or pitchers, doesn't give up any hits throughout the game. No-hitters occur at a rate of about three per season. Assume that the duration of time between no-hitters is exponential.
a. What is the probability that an entire season elapses with a single no-hitter?
b. If an entire season elapses without any no-hitters, what is the probability that there are no no-hitters in the following season?
c. What is the probability that there are more than no-hitters in a single season?
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.
a. Graph the probability distribution
b. Identify the following values:
i. Lowest value for
ii. Highest value for localid="1648215651207"
iii. Height of the rectangle:
iv. Label for x-axis (words):
v. Label for y-axis (words):
Find the probability that falls in the shaded area.
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