Question

The time it takes to fill an order at an online retailer is normally distributed 2 hours with a standard deviation of 0.5 hours. The time it takes to package an order for the same retailer is normally distributed 0.3 hours with a standard deviation of .1 hours.

Find the probability that filling and packaging the order takes more than 2 hours

Answer #1

a)

b)

The time it takes to assemble a car in a certain
factory is normally distributed with a mean of 20 hours and a
standard deviation of 2 hours. [Probability =
percent]
What is the probability that a car can be assembled in
less than 19.4 hours?
What is the probability that a car can be assembled
between 20 and 22 hours?
What is the probability that it will take more than 23
hours to assemble a car?
What is the...

The length of time it takes to fill an order at the canteen at
Westminster Business School is normally distributed with a mean of
4.1 minutes and standard deviation of 1.3 minutes.
ii) What is the probability that the average waiting time for a
random sample of ten customers is between 4.0 and 4.2 minutes?
iii) If the probability that the waiting time for a random
sample of ten customers is greater than ɑ minutes is equal to 95%,
what...

The time it takes to assemble a car in a certain factory is
normally distributed with a mean of 20 hours and a standard
deviation of 2 hours. [Probability = percent] (a) What is the
probability that a car can be assembled in less than 19.4 hours?
(b) What is the probability that a car can be assembled between 20
and 22 hours? (c) What is the probability that it will take more
than 23 hours to assemble a car?...

The time it takes for robots to defect is normally
distributed with a mean time of 1,500 hours and a standard
deviation of 120 hours.
a) What is the probability that a robot will ‘break
down’ before 1680 hours?
b) What is the probability that a robot breaks down between
1380 hours and 1590 hours?

The time it takes for a data collection operator to fill out an
electronic form for a database is uniformly distributed between 7.5
and 14 minutes.
a. What is the mean time it takes to process an electronic
form?
b. What is the standard deviation of the time it takes to
process an electronic form?
c. What is the probability that it takes more than 10 minutes to
fill out a form?
d. What is the probability it takes between...

The time a student spends learning a computer software package
is normally distributed with a mean of 8 hours and a standard
deviation of 1.5 hours. A student is selected at random.
a)What is the probability that the student spends at least 6
hours learning the software package?
b) What is the probability that the student spends between 6.5
and 8.5 hours learning the software package?
c) If only 7% of the students spend more than k hours learning
the...

The time it takes a random person to get a haircut is Normally
Distributed, with an average of 23.8 minutes and a standard
deviation of 5 minutes. Assume that different people have
independent times of getting their hair cut. Find the probability
that, if there are four customers in a row (with no gaps in
between), they will all be finished getting their hair cut in 1.5
hours (altogether) or less.

The time it takes for a statistics professor to mark a single
midterm test is normally distributed with a mean of 4.9 minutes and
a standard deviation of 1.7 minutes. There are 57 students in the
professor's class. What is the probability that he needs more than
5 hours to mark all of the midterm tests?

The time it takes to assemble run a track course is normally
distributed with a mean of 5.1 minutes and a standard deviation of
0.7 minutes. Find the probability that a randomly selected runner
will take between 5.3 and5.6 minutes?

Suppose that the time it takes to complete a Ph.D. in
mathematics is normally distributed with a mean of 5.8 years and a
standard deviation of 0.7 years. Find the probability that a random
sample of 15 mathematicians has an average time to completion of
under 5.5 years. (round to three decimal places)

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