Question
In: Statistics and Probability
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 ~ N( , )
b. Find the proportion of her laps that are completed between
| 131.13 | 133.1 |
seconds.
d. The middle 80% of her laps are from seconds to seconds.c. The
fastest 4% of laps are under seconds.
Solutions
orchestra answered 1 year agoRelated Solutions
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 129.99 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...
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...
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...
Customers arrive at the rate of 100 per hour. The ticket seller averages 30 seconds per...
Customers arrive at the rate of 100 per hour. The ticket seller
averages 30 seconds per customer. What is the average customer time
in the system?
Roberta’s Auto Repairs averages 2.5 hours per repair, exponentially distributed. On average 2.1 customers arrive per...
Roberta’s Auto Repairs averages 2.5 hours per repair,
exponentially distributed. On average 2.1 customers arrive per
eight-hour day. HINT: To calculate the measures per
day, convert the service time (number of hours) to
service rate per day.
a.
Calculate the average number of automobiles that are waiting to
be fixed. (Round your answer to 2 decimal
places.)
Number of automobiles
b.
Calculate system utilization. (Round your answer to the
nearest whole percent, but do not type the percent
sign.)...
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