Question

The time for a certain female student to commute to SCSU is Normally Distributed with mean 32.5 minutes and standard deviation of 6.3 minutes.

A. Find the probability her commuting time is more than 40 minutes.

B. Find the probability her commuting time is less than 43 minutes.

C. Find the value t such that 10% of her commuting times are greater than t.

D. Between which two values will the middle 70% of her commuting times fall?

E. Find the probability her commuting time is between 31.5 and 42.5 minutes.

Answer #1

The time for a certain female student to commute to SCSU is
Normally Distributed with mean 32.5 minutes and standard deviation
of 6.5 minutes.
Find the probability her commuting time is more than 40
minutes.
Find the probability her commuting time is less than 43
minutes.
Find the value t such that 10% of her commuting times are
greater than t.
Between which two values will the middle 70% of her commuting
times fall?
Find the probability her commuting time...

9.
The time for a certain male student to commute to SCSU is
Normally Distributed with mean 48.3 minutes and standard deviation
of 7.1 minutes. A random sample of 25 commuting times is taken.
Find the 80th percentile of the sample mean of the commuting
times.
10.
The time for a certain male student to commute to SCSU is
Normally Distributed with mean 48.3 minutes and standard deviation
of 7.1 minutes. A random sample of 25 commuting times is taken....

A) The Transportation Department determines that in a certain
metropolitan area the average one-way commute takes 1 hour 10
minutes (70 minutes). The distribution of commute times is normally
distributed with a standard deviation of 8 minutes. If you select a
person randomly, what is the probability that his or her commute
takes less than
55 minutes?
B) Using this same distribution; If you select a person
randomly, what is the probability that you find that
his or her commute...

A college claims that commute times to
the school have a mean of 60 minutes with a standard deviation of
12 minutes. Assume that student commute times at this
college are normally distributed. A statistics student
believes that the variation in student commute times is greater
than 12 minutes. To test this a sample of 71 students in
chosen and it is found that their mean commute time is 58 minutes
with a standard deviation of 14.5 minutes.
At the 0.05 level of...

The mean of the commute time to work for a resident of a certain
city is 27.3 minutes. Assume that the standard deviation of the
commute time is 7.6 minutes to complete parts (a) through
(c).
(a) What minimum percentage of commuters in the city has a
commute time within 2 standard deviations of the mean?
(b) What minimum percentage of commuters in the city has a
commute time within 2.5 standard deviations of the mean? What are
the commute...

The amount of time to complete a physical activity in a PE class
is normally distributed with a mean of 37.6 seconds and a standard
deviation of 5.4 seconds. Round answers to 4 decimal places.
a) What is the probability that a randomly chosen student
completes the activity in less than 31.5 seconds?
b) What is the probability that a randomly chosen student
completes the activity in more than 42.5 seconds?
c) What proportion of students take between 33.8 and...

The time required to assemble an electronic component is
normally distributed with a mean and a standard deviation of 24
minutes and 13 minutes, respectively. [You may find it
useful to reference the z table.]
a. Find the probability that a randomly picked
assembly takes between 19 and 27 minutes. (Round
"z" value to 2 decimal places and final answer to 4
decimal places.)
b. It is unusual for the assembly time to be above
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The times that a person spends in the shower are normally
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The times per week a student uses a lab computer are normally
distributed, with a mean of 6.3 hours and a standard deviation of
1.2 hours. A student is randomly selected. Find the following
probabilities.
(a) Find the probability that the student uses a lab computer
less than 5 hours per week.
(b) Find the probability that the student uses a lab computer
between 6 and 8 hours per week.
(c) Find the probability that the student uses a lab...

9. Suppose that the time that it takes a student to
complete this test is normally distributed. The mean time is 58
minutes with a standard deviation of 11 minutes. Use the empirical
rule to solve the following questions. Answers using the normal
calculator and not the empirical rule will be marked as
wrong.
a. What is the probability that a person will take
between 47 and 58 minutes? (Draw a picture to show your
answer.)
b. What is the...

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