as reported by runner’s world magazine, the times of the
finishers in the new york city...
as reported by runner’s world magazine, the times of the
finishers in the new york city 10-km run are normally distributed
with a mean of 61 minutes and a standard deviation of 9 minutes.
Let X denote the time of a randonly selected finisher.
Find P[43<X<70]. Round your answer to three decimal
points.
Solutions
Expert Solution
here z table is attached you
can verify values.. .rate plz if you satisfy with answer
As reported in Runner’s World magazine, the times of the
finishers in the New York City 10-km run are normally distributed
with mean 61 minutes and standard deviation 9 minutes.
a.Determine the percentage of finishers who have times between 50
and 70 minutes.
b. Obtain and interpret the 40th percentile for the finishing
times.
c. Find the middle 30% of the finishing times.
As reported in "Runner's World" magazine, the times of the
finishers in the New York City 10 km run are normally distributed
with a mean of 61 minutes and a standard deviation of 9 minutes.
Let x denote finishing time for the finishers.
a) The distribution of the variable x has mean____ and standard
deviation____ .
b) The distribution of the standardized variable z has mean____
and standard deviation____ .
c) The percentage of finishers with times between 60 and...
1. As reported in Runners World magazine, the times of the
finishers in the New York City 10 km run follow the normal model
with mean=61 minutes and standard deviation= 9 minutes.
a) Using the 68-95-99.7% rule, 68% of runners will finsh between
which two times? (In minutes)
b) Using the 68-95-99.7% rule, 99.7% of runners will finish
between which two times? (In minutes)
Use z-scores and your z-table for the following. Round
z-scores to two decimal places but give...
The times of the finishers in the New York City 10km run are
normally distributed with mean of 61 minutes and standard deviation
? minutes. It is known that 70% of finishers have a finish time
greater than 60 minutes. Let ?denote the finishing time for
finishers in this race.
Note: Show your R codes/output.
Note: You can use the functions pnorm() or qnorm() in R to help
you in solving the following parts.
The function pnorm(), compute probabilities from...
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