Question
In: Statistics and Probability
The time it takes for a certain athlete to complete 500 jumps on the rope follows...
The time it takes for a certain athlete to complete 500 jumps on the rope follows a normal distribution with an expected value of 2.5 minutes and a standard deviation of 0.16 minutes.
(a) Calculate the probability that in the next attempt the athlete takes less than 2.5 minutes to complete the 500 jumps
(b) Assuming that the athlete can perform at least 10 repetitions with the same stamina, what is the probability that he can complete 2000 jumps in less than 9.5 minutes?
(c) If 10 athletes with the same characteristics perform the exercise simultaneously, what is the probability that less than 4 complete the 500 jumps before 2.25 minutes?
(d) If the athlete wants to have at least a 10% probability of completing the 500 jumps in less than 2.2 minutes, how much should he lower his average?
Solutions
orchestra answered 1 year agoRelated Solutions
The time it takes for a certain athlete to complete 500 jumps on the rope follows...
The time it takes for a certain athlete to complete 500 jumps on
the rope follows a normal distribution with an expected value of
2.5 minutes and a standard deviation of 0.16 minutes.
(a) Calculate the probability that in
the next attempt the athlete takes less than 2.5 minutes to
complete the 500 jumps (5 pts)
(b) Assuming that the athlete can perform
at least 10 repetitions with the same stamina, what is the
probability that he can...
The time it takes for a certain athlete to complete 500 jumps on the rope follows...
The time it takes for a certain athlete to complete 500 jumps on the rope follows a normal distribution with an expected value of 2.5 minutes and a standard deviation of 0.16 minutes.
(a) Calculate the probability that in the next attempt the athlete takes less than 2.5 minutes to complete the 500 jumps
(b) Assuming that the athlete can perform at least 10 repetitions with the same stamina, what is the probability that he can complete 2000 jumps in...
The time it takes for a certain athlete to complete 500 jumps on the rope follows...
The time it takes for a certain athlete to complete 500 jumps on the rope follows a normal distribution with an expected value of 2.5 minutes and a standard deviation of 0.16 minutes.
(a) Calculate the probability that in the next attempt the athlete takes less than 2.5 minutes to complete the 500 jumps
(b) Assuming that the athlete can perform at least 10 repetitions with the same stamina, what is the probability that he can complete 2000 jumps in...
The time it takes for a certain athlete to complete 500 jumps on the rope follows...
The time it takes for a certain athlete to complete 500 jumps on
the rope follows a normal distribution with an expected value of
2.5 minutes and a standard deviation of 0.16 minutes.
a) Calculate the probability that in the next attempt the athlete
takes less than 2.5 minutes to complete the 500 jumps
b) Assuming that the athlete can perform at least 10 repetitions
with the same stamina, what is the probability that he can complete
2000 jumps in...
The time it takes for a certain athlete to complete 500 jumps on the rope follows...
The time it takes for a certain athlete to complete 500 jumps on
the rope follows a normal distribution with an expected value of
2.5 minutes and a standard deviation of 0.16 minutes.
a) Calculate the probability that in the next attempt the
athlete takes less than 2.5 minutes to complete the 500 jumps.
b) Assuming that the athlete can perform at least 10 repetitions
with the same stamina, what is the probability that he can complete
2000 jumps in...
The time that takes to complete a certain type of construction projects has a mean of...
The time that takes to complete a certain type of construction
projects has a mean of 35.5 months and a standard deviation of 1.5
months.
a. According to the Tchebysheff’s theorem, at least what
percentage of these projects must have taken between 26.5 months
and 44.5 months to complete?
b. If in addition we are told that the relative frequency curve
for the completion times is a bell-shaped curve, then approximately
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The time needed for college students to complete a certain paper and pencil maze follows a...
The
time needed for college students to complete a certain paper and
pencil maze follows a normal distribution with a mean of 30 seconds
and a standard deviation of 3 seconds. you wish to see if the mean
time μ, is changed by vigorous exercise, so you have a group of
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seconds. the hypotheses you decide to test are H0:μ=30...
The time needed for college students to complete a certain paper-and-pencil maze follows a normal distribution...
The time needed for college students to complete a certain
paper-and-pencil maze follows a normal distribution with a mean of
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if the mean time μ is changed by vigorous exercise, so you have a
group of 20 college students exercise vigorously for 30 minutes and
then complete the maze. It takes them an average of x¯=27.2 seconds
to complete the maze. Use this information to test the...
The time needed for college students to complete a certain paper-and-pencil maze follows a Normal distribution...
The time needed for college students to complete a certain
paper-and-pencil maze follows a Normal distribution with a mean of
35 seconds and a standard deviation of 2 seconds. (a) Answer the
following questions: What is the random variable (X) of interest
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statistical notation. Sketch the density curve for this
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(b) You wish to see if the mean time is...
The time that it takes for the next train to come follows a Uniform distribution with...
The time that it takes for the next train to come follows a
Uniform distribution with f(x) =1/10 where x goes between 1 and 11
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A)Find the probability that the time will be at most 7
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B)Find the probability that the time will be between 4 and 6
minutes.
C)The standard deviation is?
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