1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shtirl [24]
2 years ago
11

The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is

$1600 and the standard deviation is $100. What is the approximate percentage of buyers who paid more than $1900? What is the approximate percentage of buyers who paid less than $1400?What is the approximate percentage of buyers who paid between $1400 and $1600?What is the approximate percentage of buyers who paid between $1500 and $1700?What is the approximate percentage of buyers who paid between $1600 and $1700?What is the approximate percentage of buyers who paid between $1600 and $1900?

Mathematics
1 answer:
marysya [2.9K]2 years ago
8 0

Answer:

(a) 0.14%

(b) 2.28%

(c) 48%

(d) 68%

(e) 34%

(f) 50%

Step-by-step explanation:

Let <em>X</em> be a random variable representing the prices paid for a particular model of HD television.

It is provided that <em>X</em> follows a normal distribution with mean, <em>μ</em> = $1600 and standard deviation, <em>σ</em> = $100.

(a)

Compute the probability of buyers who paid more than $1900 as follows:

P(X>1900)=P(\frac{X-\mu}{\sigma}>\frac{1900-1600}{100})

                   =P(Z>3)\\=1-P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid more than $1900 is 0.14%.

(b)

Compute the probability of buyers who paid less than $1400 as follows:

P(X

                   =P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid less than $1400 is 2.28%.

(c)

Compute the probability of buyers who paid between $1400 and $1600 as follows:

P(1400

                              =P(-2

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1400 and $1600 is 48%.

(d)

Compute the probability of buyers who paid between $1500 and $1700 as follows:

P(1500

                              =P(-1

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1500 and $1700 is 68%.

(e)

Compute the probability of buyers who paid between $1600 and $1700 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1700 is 34%.

(f)

Compute the probability of buyers who paid between $1600 and $1900 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1900 is 50%.

You might be interested in
The official all-time high temperature in Osoyoos, B.C., was 43°C in July 1998. The official all-time low temperature was –21°C
lesantik [10]

Answer: 64°C

Step-by-step explanation:

Official all-time high temperature = 43°C

Official all-time low temperature = –21°C

The difference between the two temperatures will be calculated by subtracting the low temperature from the high temperature. This will be:

= 43°C - (-21°C)

= 43°C + 21°C

= 64°C

6 0
3 years ago
What is the slope intercept form of the line that passes through the point (-2,-18) and has a slope of 1/4
mart [117]

Answer:

y=(1/4)x - 35/2

Step-by-step explanation:

y=mx+b

y=(x/4)+b                 plug in the slope (m)

-18=(-2/4)+b             plug in x and y

b= -17 1/2= -35/2     solve for b

y=(1/4)x - 35/2         plug in m and b into the equation

8 0
3 years ago
A rectangular garden is 20 feet in length and 15 feet in width. You mom wants to create a pathway that will go diagonally throug
Lesechka [4]

Answer:

i think it is 35

Step-by-step explanation:

add 20 to 15

8 0
2 years ago
Read 2 more answers
Malek had a summer job that pays $7.00 an hour and he worked between 15 and 35 hours every week. His weekly salary can be modele
oee [108]

Answer:

57 hours

Step-by-step explanation:

because it is big hours

realley yeah please follow me

I am a school teacher

5 0
3 years ago
Help please, will give lots of points!
Troyanec [42]

Step-by-step explanation:

roots as exponents are fractions

if there is no root number next to the radical sign its assumed that its 1/2

3√2 is 2^(1/3)

√3 is 3^(1/2)

4√3 is 3^(1/4)

5√2 is 2^(1/5)

8 0
2 years ago
Other questions:
  • I need help with this math problem please!
    13·1 answer
  • Solve for n.<br> 2/3 (1 + n ) = -1/2n
    13·2 answers
  • Ben originally filled out 6 more applications than henry. Then each boy filled out 4 additional applications, bringing the total
    8·1 answer
  • If y varies inversely as x, and y = 3 as x = 8, find y for the x-value of 6.
    7·1 answer
  • If y varies inversely as x and y=3 when x=8 what is x when y=4
    13·1 answer
  • What is 1 into 23 * 100 in percentage ​
    5·1 answer
  • Determine the unknown angle measures in the figure
    10·2 answers
  • Identify the terms, like terms, coefficients, and constants in the expression 5a+2+7+6a
    13·2 answers
  • Please awnser my other question
    12·1 answer
  • NEED HELP ASAP PLEASE !!! thank you
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!