A vaccine is 95 percent effective. What is the probability that it is not effective for more than 1 out of 20 individuals?

Answers

Answer 1

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)


Related Questions

Solve problem:
8-6•4+10/2

Answers

Answer:

[tex]8 - 6 \times 4 + \frac{10}{2} \\ = 8 - 6 \times 4 + 5 \\ = 8 - 24 + 5 \\ = 8 + 5 - 24 \\ = 13 - 24 \\ = - 11[/tex]

it is 200% correct answer..

It helps you ☺️

Thank you ☺️

Leon was asked to repaint the sign for his mother's ice cream shop, so he needs to figure out how much paint he will need. Determine the area of the ice cream cone on the sign. Round to the nearest tenth. 6 in 12 in.​

Answers

Answer:

50.1

The area of the composite figure is 50.1

Trust me

What is the volume of 22.5 g of metal with a density of 2.81 g/cm

Answers

Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³

D = mV=99.7g22.1cm³ = 4.51 g/cm³

Step-by-step explanation:

d = mV

m = d×V

V = md

DENSITY

Density is defined as mass per unit volume.

d = mV

Example:

A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?

Step 1: Calculate the volume

V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³

Step 2: Calculate the density

d = mV = 433g200cm³ = 2.16 g/cm³

MASS

d = mV

We can rearrange this to get the expression for the mass.

m = d×V

Example:

If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?

m = d×V = 500 mL × 1.11g1mL = 555 g

VOLUME

d = mV

We can rearrange this to get the expression for the volume.

V = md

Example:

What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.

Step 1: Convert kilograms to grams.

14.83 kg × 1000g1kg = 14 830 g

Step 2: Calculate the volume.

V = md = 14 830 g × 1cm³19.32g = 767.6 cm³

Can someone help me please

Answers

Answer:

your on the right one it's -7.5

Answer:

the answer is -7.5

Step-by-step explanation:

the answer is -7.5 because whenever you add a negative plus a negative it changes the equations symbol so it would be -4 minus 3.5 and the answer would be -7.5.

hope this helps :)

- by chance may i get brainliest

I NEED HELP PLEASE AND SHOW THE WORK PLEASE

Answers

Answer:

6. x = 28 degrees

7.  z = 1.6 cm

Step-by-step explanation:

6.  

Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:

50 + 69 + (2 x +5) = 180

combine like terms:

119 + 2 x + 5 = 180

124 + 2 x = 180

subtract 124 from both sides:

2 x = 56

divide by 2 both sides:

x = 56 / 2

x = 28 degrees

Problem 7.

If the two triangles are congruent, then the side MN must equal side RS.

Since MN  measure 1,8 cm, then RS must also measure 1.8 cm

and we can write the equation:

1.8 = 3 z - 3

adding 3 to both sides:

1.8 + 3 = 3 z

4.8 = 3 z

dividing both sides by 3:

z = 4.8 / 3

z = 1.6 cm

What is the answer tho

Answers

Answer:

to?

Step-by-step explanation:

uh what’s ur question?

janelle has 25 pictures on her cell phone.she takes 7 more pictures, and then deletes 9 pictures . how many pictures does she have ?

Answers

Answer:

23

Step-by-step explanation:

Answer: 23 pictures

Step-by-step explanation:

25 + 7 = 32

32 - 9 = 23

Your answer will be 23 pictures.

Hope this helps!

2x^2+2=3x complete the square i need full explaination ASAP

Answers

Answer:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

Step-by-step explanation:

2x² + 2 = 3x

Subtract 3x from both sides so it equals 0:

2x² - 3x + 2 = 0

Divide both sides by 2:

x² - 3/2x + 1 = 0

Subtract 1 from both sides:

x² - 3/2x = -1

Take -3/2 and multiply it by 1/2 then square it:

(-3/2 • 1/2)²

9/16

Add this to both sides:

x² - 3/2x + 9/16 = -1 + 9/16

Rewrite the perfect square on the left and add the terms on the right:

(x - 3/4)² = -7/16

Square root both sides to get rid of the square:

x - 3/4 = ± √-7/16

Simplify the radical:

x - 3/4 = ± √7i/4

Add 3/4 to both sides:

x = 3/4 ± √7i/4

Your two solutions are:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

You can also convert to decimal if you need to (but I don’t recommend it):

x = 0.75 + 0.661438i

x = 0.75 - 0.661438i

Hope this helps!

Ik y’all good at math, help me out yall!

Answers

Answer:

i think the answer be 150 feet per minute

hope this is right

Answer:

150

Step-by-step explanation:

use points on the line i'll use (2,300) and (1,150)

m=y2-y1/x2-x1

300-150=150

2-1=1

150/1=150

hope this helps :3

sorry if im wrong

factorise 3x^3-4x^2-28x-16​

Answers

Answer:

i just saw that on google, but i'm not sure if that's what you are looking for

Answer: -2

Step-by-step explanation:

Hope it help you

Stayhomestaysafe

REAL NAME - SHRESTH DUBEY

Find the slope and the y intercept of the graph of y=-x+0.25

Answers

Answer:

Slope:  − 1

y-intercept:  ( 0 , 0.25 )

Step-by-step explanation:

y=mx+b

Hope this helps!!!

please answeeeerrrrrr

Answers

Hey!

I’m pretty sure the answer is D: 91 light bulbs

Hope this helps :)

Planes X and Y and points C, D, E, and F are shown.

Which statement is true about the points and planes?

С

VX

The line that can be drawn through points C and D is

contained in plane Y.

O The line that can be drawn through points D and E is

contained in plane Y.

O The only point that can lie in plane X is point F.

O The only points that can lie in plane Y are points D

and E.

E

.

Save and Exit

Next

Submit

Mark this and return

Answers

Answer:

The answer is below

Step-by-step explanation:

The planes are shown in the image below.

From the image, points D and E are on plane Y, while point F is on plane X.

A) The line that can be drawn through points C and D is  contained in plane Y.

This statement is wrong because point C is not in plane Y

B) The line that can be drawn through points D and E is  contained in plane Y.

Correct. Since both points D and E are on plane Y, hence The line that can be drawn through points D and E is  contained in plane Y.

C) The only point that can lie in plane X is point F.

This statement is correct because from the image only point F is on plane X.

D) The only points that can lie in plane Y are points D  and E.

This statement is correct because from the image only point D and E is on plane Y.

I WILL MARK BRAINLIEST BUT PLEASE ANSWER FAST

Answers

Answer:

B

Step-by-step explanation:

It had this question on my test. I already answered it. I put c and got it wrong. The answer is B.

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time ; 1 mile = 1609 meters.

Answers

Answer:

10.4 meters per second i think?

Step-by-step explanation:

Speed=distance over time
Distance= 70 miles
Time = 3 hours
70/3= 23.3333
Speed is approx 23.3miles per hour

Hom many TOTAL atoms are presented in H4Mg3Si2O9?

Answers

Answer:

I'm pretty sure it would be 18 total atoms.

Step-by-step explanation:

4+3+2+9=18

What is the image of point (-3,-1) under a reflection in the origin?

Answers

Answer:

3,1

Step-by-step explanation:

IMPLACE
Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid.
Part A
Which decimal is greater than Ryan's decimal and less than Sarah's decimal?
A. 0.74
B. 0.81
C. 0.65
D. 0.89

Answers

R: 70/100=0.7
S: 80/100=0.8
So the answer is A

okijuhygtnfcgfhui89y76tfrybbhhiylgtfrtc gjvhjbulygturtcfvhgjbhiuytyfc bmnbnkjuihy

uppose that 500 parts are tested in manufacturing and 10 are rejected. Test the hypothesis Upper H Subscript 0 Baseline colon p equals 0.03 against Upper H Subscript 1 Baseline colon p less-than 0.03 at . Find the P-value.

Answers

Answer:

The value is  [tex]p-value = 0.094963[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 500

   The number of rejected parts is  k =  10

    The null hypothesis is [tex]H_o : p = 0.03[/tex]

    The alternative hypothesis is  [tex]H_1 : p < 0.03[/tex]

     

Generally the sample proportion is mathematically represented as

           [tex]\^ p = \frac{10}{500}[/tex]

=>       [tex]\^ p = 0.02[/tex]

Generally the test statistics is mathematically represented as

           [tex]z = \frac{\^ p - p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]

=>       [tex]z = \frac{0.02 - 0.03 }{ \sqrt{\frac{ 0.03 (1-0.03)}{500} } }[/tex]

=>       [tex]z = -1.31080[/tex]

From the z table the probability of  (Z <   -1.31080) is  

      [tex]p-value = P(Z < -1.31080) = 0.094963[/tex]

A push lawnmower is priced at $299.50. There is an 8% sales tax rate. What is the sales tax of the pusher lawnmower in dollars and cents?

Answers

Answer:

$323.46

hope this helped :)

$323.46
$299.50 + 23.96 = 323.46

Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?

Answers

1 1/3 every single mile

GIVING OUT BRAINLLEST:What is the slope of the line that goes through the points (1,-2) and (3,6)?
Question 1 options:

-4


4


1


2

Answers

answer is 4

brainliest plz :)

4- La probabilidad que llueva el 3 de mayo en El Salvador es de 50% y la probabilidad
que llueva el 3 y 4 de mayo es 40%. Si llovió el 3 de mayo, ¿cuál es la probabilidad que
llueva el 4 de mayo?
O a) 40%
b) 80%
c) 9096
d) 10096

Answers

Answer:

80%

Step-by-step explanation:

Deje que el evento de que lloverá el 3 de mayo sea A y el evento de que lloverá el 4 de mayo sea B.

P (A) = 50% = 0,5

P (B) =?

P (A n B) = 40% = 0,4

Para encontrar la probabilidad de B,

aplicamos el uso de la probabilidad de Bayes

P (B | A) = P (A n B) / P (A) = 40% / 50% = 40/50 = 0,8 o 80%

Por definición de probabilidad condicional, la opción correcta es opción b): si llovió el 3 de mayo, la probabilidad que  llueva el 4 de mayo es 80%.

En primer lugar, debes saber que la Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso.

En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles.

En este caso, se llama suceso A al evento de que llueva el 3 de mayo en El Salvador, mientras que el suceso B será el evento de que llueva el 4 de mayo en El Salvador.

Siendo el suceso A∩B (A intersección B)  cuando A y B ocurren simultáneamente, entonces:

P(A)= 50%=0,5P(A∩B)= 40%=0,4

Por otro lado, la probabilidad condicional P(A|B) es la probabilidad de que ocurra un evento A, sabiendo que también sucede otro evento B. Esto es, es la probabilidad de que ocurra el suceso A si ha ocurrido el suceso B. Se define como:

P(A|B) = P(A∩B)÷ P(B)

En este caso, si llovió el 3 de mayo, deseas conocer la probabilidad que  llueva el 4 de mayo. Entonces la probabilidad condicional a conocer es:

P(B|A) = P(A∩B)÷ P(A)

Entonces:

P(B|A) = 0,4÷ 0,5

P(B|A) = 0,8= 80%

Finalmente, la opción correcta es opción b): si llovió el 3 de mayo, la probabilidad que  llueva el 4 de mayo es 80%.

Aprende más:

https://brainly.com/question/24290732?referrer=searchResults

When multiplying the factors 2/3 and 4/7 what is the product of the denominators

Answers

Answer:

21

Step-by-step explanation:

When multipling fractions you go straight across so, all you have to do in the furture is multiply the demonators, anyways all i had to was 3x7 which is 21. Hope this helps and have a wonderful day!

Answer:

21

Step-by-step explanation:

2/3+4/7= 8/21

the top number is the numerator and the bottom number is the denominator.


Kenya went to the convenience store to buy some candy bars for her friends. She spent a total of $6.00 on candy bars. Each candy bar cost $1.50.
How many candy bars did Kenya buy?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

* Pending
This map shows the organization that was
association of nearly 30 countrior

Answers

Where’s the map?? Or is this a part 2 to a question?

For each situation, an inequality is written. Which one has an incorrect inequality?
A Three less than a number is greater than negative four and less than negative one; - 4 B The minimum speed on a highway is forty miles per hour and the maximum speed is
seventy-five miles per hour; 40 58 575
с
The temperature in the classroom is uncomfortable if the temperature is lower than or equal to
60 degrees or higher than or equal to 75 degrees; t < 60 or t > 75
D
All real numbers that are greater than or equal to -
-75 or less than or equal to zero; z < 0 or 22 -75

Answers

Answer:

The answer is D

The product of 3 consecutive integers is 4,896. What is the largest of the three consecutive numbers?

Answers

Answer:

18

Step-by-step explanation:

1. Try to create an equation. We can say that the first number is x and the following numbers are x+1 and x+2. That means that x*(x+1)*(x+2)=4896.

2. Solve and Simplify. x^3+3x^2+2x=4896.

3. Solve and Simplify (2) I'm assuming that you're not looking for the complex solutions, so x=16.

4. Find the 3rd number. 16+2=18

Answer: 18 is the largest number of the three

A bakery cooks 15 cakes in 3 hours. At this rate, how many cakes can they bake in 8 hours?

Answers

Answer:

40

Step-by-step explanation:

Write each fraction as a percent. Use a model if needed. V-2
7/10

21/25

3/5

18/25​

Answers

7/10 = 70%
21/25 = 84%
3/5 = 60%
18/25 = 72%
7/10 is 70%
21/25 is 84%
3/5 is 60%
18/25 is 72%
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