Question

Assume that the selling prices of various homes in a city are normally distributed, such that the m = $676,000, and the d is $32,000, then

a.To find the probability that the next house sold in this city would sell more than $590,000, what is x? (x greater or less than some number)

b.To find the probability that the next house sold in this city would sell more than $590,000, what is z? (2 decimal places)

c.What is the probability that the next house sold in this city would sell more than $590,000? (4 decimal places)

d.To find the probability that the next house would sell between $630,000 and $720,000, what is x between? (lower number separated by comma and space with upper number)

e. To find the probability that the next house would sell less than $630,000 , what is z ? (2 decimal places)

f.What is the probability that the next house would sell less than $630,000 ? (4 decimal places)

g.To find the probability that the next house would sell less than $720,000 , what is z ? (2 decimal places)

h.What is the probability that the next house would sell less than $720,000? (4 decimal places

i.What is the probability that the next house would sell between $630,000 and $720,000? (4 decimal places)

j.In the last 35 houses sold in this city, how many were sold between $630,000 and $720,000? (round to next higher integer)

Answer #1

a)

Here we need to find

P (X >590000)

b)

The z-score for X = 590000 is

z = {590000-676000} / {32000} = -2.6875 ≈ -2.69

c)

The probability that the next house sold in this city would sell more than $590,000 is

P(X>590000) = P(z>-2.69) = 0.9964

d)

P(630000<X<720000)

Answer: (630000, 720000)

e)

The z-score for X = 630000 is

z= {630000-676000} / {32000} = -1.25

f)

The probability that the next house sold in this city would sell less than $630,000 is

P(X<630000) = P(z<-1.25) = 0.1056

g)

The z-score for X = 720000 is

z= {720000-676000} / {32000} = 1.375

Answer: 1.38

h)

The probability that the next house sold in this city would sell less than $720,000 is

P(X<720000) = P(z<1.38) = 0.9162

i)

P(630000<X<720000) = P(-1.25<z<1.38) = 0.8106

j)

The number of houses were sold between $630,000 and $720,000 is 35 * 0.8106 = 28.371

The monthly utility bills in a city are normally distributed,
with a mean of $100 and a standard deviation of $16. Find the
probability that a randomly selected utility bill is (a) less than
$67, (b) between $80 and $100, and (c) more than $110.
(a) The probability that a randomly selected utility bill is
less than $67 is nothing. (Round to four decimal places as
needed.)
(b) The probability that a randomly selected utility bill is
between $80 and...

The monthly untily bills in a city are normally distributed
with a mean of $100 with standard deviation of $15. find the
probability that a randomly selected utility bill is less than $65?
between $80 and $90? and more than $100?

Standard Normal Distribution – In Exercises 9 – 13, assume that
thermometer readings are normally distributed with a mean of 0oC
and a standard deviation of 1.00oC. A thermometer is randomly
selected and tested, find the probability of each reading. (The
given values are in Celsius degrees.) If using technology instead
of Table A-2, round answers to four decimal places.
9. Less than 2.39
10. Greater than 1.35
11. Between 0.14 and 2.57
12. Between -2.33 and 1.33
13. Less...

3.Assume that the readings at freezing on a batch of
thermometers are normally distributed with a mean of 0°C and a
standard deviation of 1.00°C. A single thermometer is randomly
selected and tested. Find the probability of obtaining a reading
greater than 1.865°C. P(Z>1.865)=P(Z>1.865)= (Round to four
decimal places)
4.Assume that the readings at freezing on a batch of
thermometers are normally distributed with a mean of 0°C and a
standard deviation of 1.00°C. A single thermometer is randomly
selected...

Assume that Richter scale magnitudes of earthquakes are normally
distributed with a mean of 1.925 and a standard deviation of 0.317.
Use the appropriate z-score table when necessary.
a.) What is the z score that corresponds to a Richter scale
magnitude of 1.811? (round to two decimal places)
z = Answer
b.) What Richter scale magnitude (to three decimal places) would
correspond to a z-score of 1.8?
Answer
c.) What is the probability of an earthquake having a Richter
scale...

6. Assume that adults have IQ scores that are normally
distributed with mean 100 and standard deviation 15. In each case,
draw the graph (optional), then find the probability of the given
scores. ROUND YOUR ANSWERS TO 4 DECIMAL PLACES
a. Find the probability of selecting a subject whose score is
less than 115. __________
b. Find the probability of selecting a subject whose score is
greater than 131.5. __________
c. Find the probability of selecting a subject whose score...

In a large city, the heights of 10-year-old children are
approximately normally distributed with a mean of 53.7 inches and
standard deviation of 3.7 inches.
(a) What is the probability that a randomly chosen 10-year-old
child has a height that is less than than 50.35 inches? Round your
answer to 3 decimal places.
(b) What is the probability that a randomly chosen 10-year-old
child has a height that is more than 53.2 inches? Round your answer
to 3 decimal places.

The adult length of a certain species of python is normally
distributed with a mean of 12.4 feet and a standard deviation of 4
feet.
1) Find the probability that a randomly selected python is
between 14 and 16.8 feet long. Round to 4 decimal places.
2) Find the probability that a randomly selected python is
less than 13 feet long. Round to 4 decimal places.
3) Only 5% of all pythons are longer than __ feet. Round to 2...

Assume that females have pulse rates that are normally
distributed with a mean of 74.0 beats per minute and a standard
deviation of 12.5 beats per minute.
(a) If 1 adult female is randomly selected, find the probability
that her pulse rate is less than 80 beats per minute. (Round your
answer to 4 decimal places)
(b) If 16 adult females are randomly selected, find the
probability that they have pulse rates with a mean less than 80
beats per...

The age of professional racecar drivers is normally distributed
with a mean of 30 and a standard deviation of 6. One driver is
randomly selected. (Round all answers to at least three decimal
places)
What is the probability that this driver is less than 20 years
old?
What is the probability that this driver is more than 12 years
old?
What is the probability that this driver is between 31 and 35 years
old?
95% of all drivers are younger...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 11 minutes ago

asked 27 minutes ago

asked 36 minutes ago

asked 40 minutes ago

asked 40 minutes ago

asked 42 minutes ago

asked 45 minutes ago

asked 48 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 1 hour ago