Question
In: Statistics and Probability
Kasi Skyrider, an amateur motorcycle racer, averages 130 seconds per lap with a standard deviation of...
Kasi Skyrider, an amateur motorcycle racer, averages 130 seconds per lap with a standard deviation of 2.3 seconds. The distribution of her lap times is normally distributed. We are interested in one of her randomly selected laps.
(2%) X∼ (
,
) .
(3%) What is the probability that her laps are completed in less
than 130 seconds?
(3%) The fastest 3% of her laps are completed in under
seconds .
(3%) The middle 80% of her laps are completed in between
seconds and
seconds.
Solutions
orchestra answered 2 years agoRelated Solutions
Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap...
Terri Vogel, an amateur motorcycle racer, averages 129.71
seconds per 2.5 mile lap (in a seven-lap race) with a standard
deviation of 2.28 seconds. The distribution of her race times is
normally distributed. We are interested in one of her randomly
selected laps.
A)Find the percent of her laps that are completed in less than
131 seconds. (Round your answer to two decimal places.)
B) The fastest 4% of her laps are under how many seconds? (Round
your answer to...
Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a seven-lap...
Terri Vogel, an amateur motorcycle racer, averages 129.71
seconds per 2.5 mile lap (in a seven-lap race) with a standard
deviation of 2.28 seconds. The distribution of her race times is
normally distributed. We are interested in one of her randomly
selected laps.
Part (a)
In words, define the random variable X.
the time (in seconds) per lapthe time (in seconds) per
race the distance (in miles) of each racethe
distance (in miles) of each lap
Part (b)
Give the distribution...
Terri Vogel, an amateur motorcycle racer, averages 129.52 seconds per 2.5 mile lap (in a 7...
Terri Vogel, an amateur motorcycle racer, averages 129.52
seconds per 2.5 mile lap (in a 7 lap race) with a standard
deviation of 2.29 seconds . The distribution of her race times is
normally distributed. We are interested in one of her randomly
selected laps. (Source: log book of Terri Vogel) Let X be the
number of seconds for a randomly selected lap. Round all answers to
4 decimal places where possible.
a. What is the distribution of X? X...
Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a 7...
Terri Vogel, an amateur motorcycle racer, averages 129.71
seconds per 2.5 mile lap (in a 7 lap race) with a standard
deviation of 2.28 seconds . The distribution of her race times is
normally distributed. We are interested in one of her randomly
selected laps. (Source: log book of Terri Vogel)
a. In words, define the random variable X.
X=
b. X~
c. Find the percent of her laps that are
completed in less than 130 seconds.
d. The fastest...
Terri Vogel, an amateur motorcycle racer, averages 129.63 seconds per 2.5 mile lap (in a 7...
Terri Vogel, an amateur motorcycle racer, averages 129.63
seconds per 2.5 mile lap (in a 7 lap race) with a standard
deviation of 2.28 seconds . The distribution of her race times is
normally distributed. We are interested in one of her randomly
selected laps. (Source: log book of Terri Vogel) Let X be the
number of seconds for a randomly selected lap. Round all answers to
4 decimal places where possible.
a. What is the distribution of X? X...
Terri Vogel, an amateur motorcycle racer, averages 129.97 seconds per 2.5 mile lap (in a 7...
Terri Vogel, an amateur motorcycle racer, averages 129.97
seconds per 2.5 mile lap (in a 7 lap race) with a standard
deviation of 2.27 seconds . The distribution of her race times is
normally distributed. We are interested in one of her randomly
selected laps. (Source: log book of Terri Vogel) Let X be the
number of seconds for a randomly selected lap. Round all answers to
4 decimal places where possible.
a. What is the distribution of X? X...
Terri Vogel, an amateur motorcycle racer, averages 129.79 seconds per 2.5 mile lap (in a 7...
Terri Vogel, an amateur motorcycle racer, averages 129.79
seconds per 2.5 mile lap (in a 7 lap race) with a standard
deviation of 2.3 seconds . The distribution of her race times is
normally distributed. We are interested in one of her randomly
selected laps. (Source: log book of Terri Vogel) Let X be the
number of seconds for a randomly selected lap. Round all answers to
4 decimal places where possible.
a. What is the distribution of X? X...
Terri Vogel, an amateur motorcycle racer, averages 129.99 seconds per 2.5 mile lap (in a 7...
Terri Vogel, an amateur motorcycle racer, averages 129.99
seconds per 2.5 mile lap (in a 7 lap race) with a standard
deviation of 2.25 seconds . The distribution of her race times is
normally distributed. We are interested in one of her randomly
selected laps. (Source: log book of Terri Vogel) Let X be the
number of seconds for a randomly selected lap. Round all answers to
4 decimal places where possible. a. What is the distribution of X?
X...
A road averages 2,895 vehicles per day with a standard deviation of 615 vehicles per day....
A road averages 2,895 vehicles per day with a standard deviation
of 615 vehicles per day. A traffic counter was used on this road on
34 days that were randomly selected.
a. What is the probability that the sample mean is less than
2,700 vehicles per day?
b. What is the probability that the sample mean is more than
2,900 vehicles per day?
c. What is the probability that the sample mean is between 2,800
and 3,000 vehicles per day?...
Reaction times are normally distributed with mean 100 seconds and standard deviation of 10 seconds. a)...
Reaction times are normally distributed with mean 100
seconds and standard deviation of 10
seconds.
a) What is the probability that a randomly chosen
individual has reaction time of more than 45 seconds?
b) In a random sample of 36 individuals from the above
population of reaction times, what is the probability that the
sample mean reaction time is more than 45 seconds
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