Question

**It has been found that the
time taken to complete an emotional intelligence test is normally
distributed, with an average time ( μ) of 18 minutes and a
standard deviation (σ) of 3.5 minutes. What is the
probability that a randomly selected person will take:**

**2.3.1 ** **Between 15
and 17 minutes** to complete the test? Interpret your
answer. (5)

Answer #1

It shows that 19.1% person will complete the test between 15 and 17 minutes.

It has been found that times taken by people to complete a
particular tax form follow a normal distribution with mean 100
minutes and standard deviation 30 minutes.
(a) Four people are chosen at random. What is the probability
that exactly two of them take longer than an hour to complete this
form?
(b) For a randomly chosen person, state in which of the
following ranges (expressed in minutes) time to complete the form
is least likely to lie.
70-90...

4. The time that it takes a person to complete a survey is
normally distributed with a mean of 18 minutes and a standard
deviation of 3.5 minutes. (a) Find the 45’th
percentile.

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...

The length of time Jim and Lisa take to complete a 20km marathon
has been found to be both normally and independently distributed.
If Jim's completion time of the race averages 1.5 hours with a
standard deviation of 0.4 hours and Lisa's completion time averages
1.3 hours with a standard deviation of 0.6 hours, determine:
1) The probability that Lisa takes less than 1 hour and 45
minutes to complete a race.
2) The probability that Jim finishes the race...

Assume the amount of time accountants take to complete an audit
is a normally distributed random variable with a mean of 21 hours
and a standard deviation of 2 hours. What is the probability that
the amount of time the accountants take to complete a randomly
selected audit will be between 17 and 25 hours?

7) The time it takes college freshman to complete the Mason
Basic Reasoning Test is normally distributed with a mean of 24.6
minutes with a standard deviation of 5.8 minutes.
a) What is the probability that a college freshman will take
more than 35 minutes to complete the exam?
b) What is the probability that a student will take less than 20
minutes to complete the exam?

The amount of time all students in a very large undergraduate
statistics course take to complete an examination is distributed
continuously and normally. The probability a student selected at
random takes at least 55.50 minutes to complete the examination
equals 0.6915. The probability a student selected at random takes
no more than 71.52 minutes to complete the examination equals
0.8997. a. Determine the value for the mean (μ) of the associated
distribution. b. Determine the value for the standard deviation...

The times that a person spends in the shower are normally
distributed with a mean of 12.5 minutes and a standard deviation of
3.5 minutes. If 25 people is selected, find the probability that
the mean time taken by him/her is less than 14 minutes?

The times that a person spends in the shower are normally
distributed with a mean of 12.5 minutes and a standard deviation of
3.5 minutes. If 9 people is selected, find the probability that the
mean time taken by him/her is greater than 15.2 minutes?

Intelligence Quotient (IQ) scores are often reported to be
normally distributed with μ=100.0 and σ=15.0. A random sample of 53
people is taken.
Step 1 of 2 :
What is the probability of a random person on the street having
an IQ score of less than 96? Round your answer to 44 decimal
places, if necessary.

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