Suppose 10 percent of households earn over 80.000 dollars a year, and 0.25 percent of households earn over 450,000. A random sample of 400 households has been chosen. In this sample, let X be the number of households that earn over 80,000, and let Y be the number of households that earn over 450,000. Use normal and Poisson approximation, whichever is appropriate in either case, to find the simplest estimates you can for the probabilities P(X 48) and P(Y 2).

Answers

Answer 1

Answer:

0.1056

0.2642

Step-by-step explanation:

N = 400

P = 10%

n*p = 400*0.1 = 40

n(1-p) = 400 * 0.9 = 360

40 and 360 are greater than 5 so we use the normal distribution here to estimate further.

mean = n*p = 40

sd = [tex]\sqrt{np(1-p)}[/tex]

[tex]\sqrt{400*0.1(1-0.1)} \\= \sqrt{40(0.9)} \\= \sqrt{36} \\= 6[/tex]

p(X≥48)

= p(X≥47.5)

[tex]=P(Z<\frac{47.5-40}{6} )\\= P(Z<1.25)[/tex]

= 0.8944

1 - 0.8944

= 0.1056

FOR Y

N = 400 p = 0.25% = 0.0025

400 * 0.0025 = 1

1 is less than 5 so we use poisson distribution.

using the excel function,

1 - BINOMDIST(1, 400, 0.0025, TRUE)

= 1 - 0.735759074

= 0.2642


Related Questions

What is the area of this figure?

Enter your answer in the box.

Answers

Answer:

24

Step-by-step explanation:

Area of the 1st upright rectangle: 3x4=12

Area of 2nd rectangle: rectangle: 6x1=6

area of triangle: ((1st leg)x(2nd leg))/2=(4x3)/2=6

1st leg=4

2nd leg=6-3=3

12+6+6

24=area

Hope this helps :)

PLEASE HELP!! THIS DUE IN 10 MINUTES

Answers

Answer:

C

Step-by-step explanation:

Area of a parallelogram:

BH x 1/2

In this case 7 and 6 are your base and the height is your half.

Answer:

I believe the answer is A: A = 6 * 7

Step-by-step explanation:

Ok, I may be wrong, but this is how I see the answer:

The formula for how to find the area of a parallelogram is A = b * h.

Base = 6 m

Height = 7 m

A = 6 * 7

Brenda’s school is selling tickets to a spring musical. On the first day of ticket sales the school sold 6 adult tickets and 9 child tickets for a total of $108. The school took in $111 on the second day by selling 9 adult tickets and 5 child tickets. What is the price of each type of ticket?

Answers

Answer:

42 dollars

Step-by-step explanation:

‼️HELP‼️ Write an equation of the line in slope-intercept form

Answers

y= mx+b
go onto khan academy so you can learn it or if you still cant do it lmk

6+4/a+b/3 when a=4 and b=3

Answers

Answer:

8

Step-by-step explanation:

Plug in a =4 and b=3 into  6+4/a +b/3

6 + 4/4 + 3/3

= 6 + 1 + 1

= 8

(y+1)2_ (x + 2)2 > 1?
Which point justifies the shaded area by satisfying (+2)2 ..
24
(12, 6)
O (-2, 6)
O (8,-6)
O (-1, -2)
N

Answers

Answer:

-2,6

Step-by-step explanation:

Ed2021

point  (-2, 6) justifies the shaded area by satisfying (+2)2.

What is a straight line graph?

The graph follows a straight line equation shows a straight line graph.equation of a straight line is   y=mx+cy represents vertical line y-axis.x represents the horizontal line x-axis.     m is the slope of the line

           slope(m)=tan∅=y axis/x axis.

c represents y-intercepts (it is the point at which the line cuts on the y-axis)

Straight line graphs show a linear relationship between the x and y values.

solving the equation:-

      [tex]\frac{(y+1)^{2} }{6}[/tex] - [tex]\frac{(x+2)^{2} }{24}[/tex] ≥ 1

    ⇒[tex]\frac{6(y+1)^{2} +(x+2)^{2} }{24}[/tex] ≥ 1

   

Learn more about Straight line graph here:-https://brainly.com/question/14323743

#SPJ2

Helpppppppppppppppp​

Answers

Answer:

tjrjrkrkrkrkurjrjrjrjrnr s jkalsmrnrnd

Evaluate if a=3, x=2, y=5, and z=4

axz\div(2y)axz÷(2y)






12

24

2.4

60

Answers

Answer:

Just calculate

3×2×4 ÷ (2×5)

24÷10

=2.4

Math 143 flooring lab​

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.

10x3 + 35x2 − 4x − 14

5x2(____) − 2(____)

What is the common factor that is missing from both sets of parentheses?

Answers

Answer:

The answer is "[tex]2x+7[/tex]".

Step-by-step explanation:

In this question, it can measure this using the following step if you'd like to find the missing element in both types of parentheses:

[tex]\to 10x^3 + 35x^2 - 4x - 14 \\\\\to (5x^2-2) (2x+7)\\\\\to 5x^2 (2x + 7) - 2 (2x + 7)\\[/tex]

So, the correct answer would be (2x + 7).

To the nearest whole number, what is the area of the regular hexagon?

<3 help me out.

Answers

there are 6 triangles in the hexagon, so the hexagon area is 6*16*➗3 *=96 *➗3

multplying binomals anyone know this?

Answers

Answer:

Yes I know this material.

(x+2)(x+1) x^2+x+2x+2 So the answer is x^2+3x+2 Hope this helps
you use the distribution method
i cant do all but hopefully this will help
(x+2)(x+1)
=x^2+1x+2x+2
=x^2+3x+2

(x+3)(x+4)
=x^2+4x+3x+12
=x^2+7x+12

(8+7x)9= simplify using distributive property

Answers

Answer:

72 + 63x

Step-by-step explanation:

(8+7x) x 9 =

8 x 9 + 7x x 9 -

72 + 63x

Hope that helps!

Answer:

[tex]\huge\boxed{\boxed{\sf{72+63x}}}[/tex]

Step-by-step explanation:

Hello.

In order to simplify this expression, we need to

multiply  8+7x times 9

8×9=72

7x×9=63x

72+63x

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

A television news program asks its viewers to call in to give their opinions on an upcoming ballot question. What type of sampling method does this represent?

Answers

Answer:

This is an example of self selecting sampling

Step-by-step explanation:

This is an example of self selecting sampling because the news program is asking viewed to give their opinions. The viewers themselves have a choice of participating in the sample therefore is self selecting.

i gotta brand new whip

Answers

Answer:

no keys

Step-by-step explanation:

How to add fraction 3/7+ 3/9=

Answers

[tex] \large \sf \pink{Answer: }[/tex]

[tex] \large \purple{ \boxed{ \frac{16}{21}}}[/tex]

[tex] \large \sf \pink{Explanation:}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{3}{9}}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{1 \times 3}{3 \times 3}}[/tex]

[tex] \sf \large{ \frac{3}{7} + \frac{1}{3}} [/tex]

[tex] \sf \large\frac{3 \times 3}{21} + \frac{1 \times 7}{21}[/tex]

[tex] \sf \large{ \frac{9}{21} + \frac{7}{21}}[/tex]

[tex] \sf \large{ \frac{(9 + 7)}{21}}[/tex]

[tex] \sf \large \purple{ = \frac{16}{21}}[/tex]

-2(3+m)=
Solve the question

Answers

The answer is -6-2m

Have a wonderful day

2.
It took you 30 minutes (min) to walk
from home to school with the
distance of 500 meters. What is the
average speed?​

Answers

If it’s per hour it would be 1000 m per hour

Answer:

0.27778m/s woulb be my average speed

Which of these is an example of a random sample?
A.
Customers buying a new cell phone are surveyed about cell phone plans.

B.
A phone plan company surveys people on the beach to see how well they are receiving service, and uses this information in future advertising.

C.
Every twentieth caller to an independent radio station receives tickets to a concert.

D.
A phone survey is conducted using twenty names randomly taken from the phone book.

Answers

B I believe is a good sample

if a rectangle is 6"wide and 9" long, what will be the new lenth if the width increases by 3"

Answers

The length would be 12

Help me plz!!

Ben has 8 pints of ice cream. How many 1 cup servings can Ben make from the ice cream?

Note: 1 pint = 2 cups

Answers

You need to multiply by two which it becomes 2×8 is equal to 16 cups.

Answer:

16 servings

Step-by-step explanation:

Let p and q represent the following simple statements:
p: The taxes are high.
q: The job pays well.
Write the following compound statement in its symbolic form.
The taxes are high and the job pays well.
The symbolic form is

Answers

Answer:   [tex]p \ \wedge \ q[/tex]

The upside down V symbol is known as a wedge. It represents a conjunction which is informally the "and". In other words, [tex]p \ \wedge \ q = \text{p and q}[/tex]

Note how we can replace p with "the taxes are high" and replace q with "the job pays well" to arrive at the overall compound statement "The taxes are high and the job pays well".

Some logic textbooks will use an ampersand symbol & to be used in place of a wedge. It will depend on the notation that they, or your teacher, has set up.

HELP ASAP. What is the area of this trapezoid and the formula. Please explain your reason.

Answers

Answer:

base 1 + base 2 times height times half (basically dividing by 2) is the formula of a trapezoid. 25 + 35 = 60 x 21 = 1260 divided by 2 is 630

There 12 sports drinks, 7 cans of orange juice, and 5
sodas in a cooler. If a drink is selected at random from
the cooler, what are the chances that it is not a orange
juice?
A. 1/2
B. 17/24
C. 7/24
D. 19/24

Answers

17/24
add up all the numbers together to give you 24
there’s 7 orange juice cans so subtract 7 from 24 to give you 17/24

The art club at a community college is selling burgers at lunchtime as a fundraiser. The club spends $8 for condiments and supplies. The cost of the meat and bun for each burger is $0.65. Express the total​ cost, C, as a function of the number of burgers​made, x.

Answers

Answer:

C(x)=0.65x+8

Step-by-step explanation:

According to the information given, you can say that the total cost would be equal to the result of multiplying the cost of the meat and bun per burger for the number of burgers made plus the amount spent on condiments and supplies, which can be expressed as:

C(x)=0.65x+8, where:

C(x) is the total cost

x is the number of burgers made

Find the equation of the circle touching both axes and has centre on the line 3x - 5y = 4.​

Answers

Step-by-step explanation:

Look at the picture.

can I be brainliest

have a nice day

HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER

Answers

65+3x+2x=180
5x=115
x=23

an angle measures 66° less than the measure of its complementary angle. what is the measure of each angle

Answers

Answer:

12 and 78

Step-by-step explanation:

The sum of complementary angles is 90 degrees

X+(x-66) = 90

2x = 156    x =  78

78-66 = 12

Gina is wrapping gifts for her daughter's birthday how many square inches of wrapping paper does Gina use to wrap a box 3 inches 8 inches tall 14 inches​

Answers

Answer:

336 inches

Step-by-step explanation:

help me please i need help

Answers

Answer:

1/5

Step-by-step explanation:

The answer to that question is 1/5 because 3 goes into 3, 1 time and 3 goes into 15, 5 times. A= 1/5
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