A researcher is trying to show evidence for extra-sensory perception (ESP). She performs a test in which the subject is asked 10 yes or no question whose answer depends on information which the subject has not observed. Suppose that for each test, in the absence of ESP, the subject gets each question correct with 50% probability a) In the absence of ESP, what is the probability that a given test subject will answer at least 8 out of 10 questions correctly

Answers

Answer 1

Answer:

The answer is "0.0547".

Step-by-step explanation:

[tex]P(Correct) = 0.50\\\\n = 10\\\\x = 8[/tex]

Using the binomial distribution:

[tex]\to P(x,n) = n_{C}_x \times p^x \times (1-p)^{(n-1)}\\\\\to P(x \geq 8) = 1 - P( \leq 7)[/tex]

Calculating the excel formula:

[tex]=BINOM.DIST(7,10,0.50,TRUE)[/tex]

[tex]\to P(x \geq 8) = 1 - 0.9453\\\\ \to P(x \geq 8) = 0.0547[/tex]


Related Questions

PLEASE HELP (COMPLETE QUESTION B) 5TH GRADE MATH. GIVING AWAY BRAINLIEST

Answers

Answer:

Now that you have a completed table, you will have the coordinates (0, -3), (1, -1), and (2, 1). Mark these points on the coordinate grid and draw a straight line through the origin, (0, 0). Use part a as your advantage to answer part b.


Sean traded 1/7 of his baseball cards. What percentage of his baseball cards did Sean trade?

Answers

Answer:

Step-by-step explanation:

14%

Find the area of each figure. Round to the nearest tenth if necessary

Answers

Answer:

59.3

Step-by-step explanation:

First find the area of the the right triangles

5 * 4 / 2 = 10

Multiply it by 2 since there are 2 right triangles that are the same

10 * 2= 20

Then find the area of a semi circle

The radius is 5

π5^2 / 2= 39.27

39.27 rounded to the nearest tenth is 39.3

Add them together

20 + 39.3 = 59.3

59.3 is your answer

Can you find the slope-intercept equation of each line and type the correct code? Please remember to type in ALL CAPS with no spaces.

Answers

Answer:

Step-by-step explanation:

line 1 is H

line 2 is C

line 3 is D

line 4 is G  

:)

Jan had 30 dollars saved for a new bike. This was one third of needed to save. how much does the bicycle cost?​

Answers

Answer:

90 dollars

Step-by-step explanation:

I did maths hghbhhbghfggghggfgy

When Reena  subtracted 9 from thrice a number, the result was 15. Then the number is

-7

8

-3

-8​

Answers

Answer:

8

Step-by-step explanation:

Thrice means the same as 3, so 3 × 8 = 24 and when 9 is subtracted from 24 it is equal to 15

Answer:

Step-by-step explanation:

let the number be x

3x-9=15

3x=15+9     add 9 from both sides

3x=24

x=8

What is the answer to 2.5 divided by 5

Answers

The answer is 0.5


2.5/5=0.5

0.5 is the value of 2.5 by 5.

What is Division?

A division is a process of splitting a specific amount into equal parts.

We need to find the solution when 2.5 divided by 5.

2.5/5

2.5 is the numerator and 5 is the denominator.

5 is the divisor and 2.5 is the dividend.

Zero point five is the value of 2.5 by 5.

0.5 is the value of 2.5 by 5.

Hence, 0.5 is the value of 2.5 by 5.

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Martha ran 2 miles in 15 minutes.
At this rate, how many miles
would she run in 2 hours?

Answers

4 fifteen minute periods make up one hour, so she will run 8 miles in one hour. Since it’s 2 hours, you would multiply that by 2 to get 16. So, Martha ran 16 miles

Find the equation of the line.
Use exact numbers.

Answers

Answer:

(0,-3) and (6,0)

Step-by-step explanation:

Now you use two point form to make equation

Y2-Y1/Y-Y1=X2-X1/X-X1

here Y2=0 ,Y1=-3

X2=6 and X1=0  now put in equation to get answer

Will Give Brainliest if you anwser the question before 12:45

Answers

Answer:

[tex]\displaystyle \frac{1}{2}[/tex]

General Formulas and Concepts:

Math

Converting to FractionsKCF - Keep Change Flip (Dividing Fractions)

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle (\frac{(2.7 - 0.8) \cdot 2\frac{1}{3}}{(5.2 - 1.4) \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex]

Step 2: Compute

(Parenthesis) [Fraction] (Parenthesis) Subtract:                                           [tex]\displaystyle (\frac{1.9 \cdot 2\frac{1}{3}}{3.8 \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Convert to fractions:                                             [tex]\displaystyle (\frac{\frac{19}{10} \cdot \frac{7}{3}}{\frac{38}{10} \div \frac{3}{70}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Multiply/Divide:                                                       [tex]\displaystyle (\frac{\frac{133}{30}}{\frac{266}{3}} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) [Fraction] Divide:                                                                     [tex]\displaystyle (\frac{1}{20} + 0.125) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Convert to fraction:                                                                 [tex]\displaystyle (\frac{1}{20} + \frac{1}{8}) \div 2\frac{1}{2} + 0.43[/tex](Parenthesis) Add:                                                                                         [tex]\displaystyle \frac{7}{40} \div 2\frac{1}{2} + 0.43[/tex]Divide:                                                                                                           [tex]\displaystyle \frac{7}{100} + 0.43[/tex]Convert to fraction:                                                                                       [tex]\displaystyle \frac{7}{100} + \frac{43}{100}[/tex]Add:                                                                                                               [tex]\displaystyle \frac{50}{100}[/tex]Simplify:                                                                                                            [tex]\displaystyle \frac{1}{2}[/tex]

When x = 2.5 and y = 5, which of the expressions below will be greater than 75? Select all that apply.
A) 8x+12y
B) 10xy
C) 4y^2–8x
D) y^3/2x

Answers

Answer:

C is may answer

Step-by-step explanation:

I HOPE IS HELPS

The measure of c is
.

Answers

Answer:

10

Step-by-step explanation:

6^2=36

8^2=64

64+36=100

The square root of 100 is 10

roshaun has saved 150$ and continues to add 10$ each week. Keegan starts with 0$ and saves 25$ each week. In how many weeks will they have the same amount of money?​

Answers

Answer:

10 weeks

Step-by-step explanation:

Create a system of equations demonstrating Roshaun and Keegan's savings.

Roshaun: 150 + 10x  Keegan: 0 + 25x  

Let x equal the number of weeks they save their money.

In order to calculate how many weeks they will have the same amount of money saved, we need to set their equations equal to each other and solve for x.

150 + 10x = 25x

Subtract 10x from both sides of the equation.

150 = 15x

Divide both sides of the equation by 15.

x = 10

In 10 weeks, Roshaun and Keegan will have the same amount of money.

Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read
89 pages. Which equation most closely estimates how many pages Kevin has
remaining to read?

Answers

The equation most closely estimates the number of pages Kevin has remaining to read will be x + 73 + 89 = 295.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Kevin is reading a 295-page book. On Friday, he read 73 pages. On Saturday, he read 89 pages.

Let 'x' be the number of pages to be read. Then the equation is given as,

x + 73 + 89 = 295

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10=2x+12
What’s the steps

Answers

Answer: i got 10

Step-by-step explanation:

what ud o is 2x+12 let me see

10=2x + 12
-2x = 12 - 10
-2x=2
Divide both sides by -2
X=-1

Help Please!!!!!!!!!!!!
Graph x>4.

Answers

Answer:

graph

Step-by-step explanation:

This is your answer hope this helps


A square playpen has sides that are 4 feet long. What is the playpen's area?

Answers

Answer:

16

Step-by-step explanation:

Use the Binomial Theorem to expand (x + 1)^6

Answers

Answer:

Here is what i got x^2+6x^5+15x^4+6x+1

Step-by-step explanation:

^ that mark is for exponents btw. For anyone that is new to this

The Binomial Expansion of  [tex](x+ 1)^6[/tex] is [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex].

What is Binomial Expansion?

An expression that has been raised to any finite power can be expanded using the binomial theorem. A useful expansion technique with applications in probability, probability theory, and algebra is the binomial theorem. A binomial expression is an algebraic expression with two terms that are not the same.

Given:

We have to expand [tex](x+ 1)^6[/tex]

We know the general form of Binomial Expansion

(x + y[tex])^n[/tex] = C(n, 0) [tex]x^ny^0[/tex] + C(n, 1) [tex]x^{n-1}y^1[/tex] +.........+ C(n, n) [tex]x^0y^n[/tex]

Here n= 6

So, the expansion of [tex](x+ 1)^6[/tex] is

= C(6, 0) [tex]x^6y^0[/tex] + C(6, 1)[tex]x^5y^1[/tex] + C(6, 2) [tex]x^4y^2[/tex] + C(6, 3) x³y³ + C(6, 4) x²[tex]y^4[/tex] +  

   C(6, 5) x[tex]y^6[/tex] + C(6, 6) [tex]x^0y^6[/tex]

= [tex]x^6[/tex] + 6[tex]x^5[/tex]y + 15[tex]x^4[/tex]y² + 20x³y³ + 15x²[tex]y^4[/tex] + 6x[tex]y^5[/tex] + [tex]y^6[/tex]

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A trapezoid has a base of 5cm, a height of 4cm. What is the area?

Answers

Answer:

area = 16 cm²

Step-by-step explanation:

area of rectangle = 3x4 = 12

area of triangle = 2x4x0.5 = 4

12 + 4 = 16 cm²

another way is :

1/2(b1+b2)(h) = area

1/2(3+5)(4) = 16 cm²

The principal of a high school e-mails a survey to all parents asking them to vote on the best time to have the PTA meeting. She only receives responses from 56% of the parents. Describe how the design of the survey leads to bias.
A. A nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.
B. A nonresponse error was made in this design. This type of sampling only represents the parents at this school and not the entire population.
C. A convenience sample error was made in this design. This type of sampling only represents the parents with e-mail addresses and not the entire population.
D. An undercoverage error was made in this design. This type of sampling only represents the parents in the city and not the entire population.
E. There are no potential areas of bias.

Answers

Answer:

A

Step-by-step explanation:

The design of the survey leads to bias because a nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.

Only 56% of response were received this means the entire population did not participate in the survey only a chuck of them answered the survey. This can lead to a biased result, an assumption.

In a woodworking class, you need to make five triangles out of plywood. Each triangle has a height of 6 inches and a base of 14 inches. Which equation can you use to solve for the total amount of plywood you will need?

Answers

Answer:5 * (1/2 * 6 * 14)= x

Step-by-step explanation: :D

Express each rate below as a unit rate.
975 calories in 13 brownies

Answers

Answer:

Step-by-step explanation:

975/13=75

75 calories per brownie

The sum of 8 and t
help anyone??

Answers

T + 8
Not sure if I’m wrong but I am also learning this.

Answer:

8 + t

Step-by-step explanation:

The sum of 8 and t ⇒ 8 + t

173 The midpoint between x and a is m. What is x ?

Answers

If so, [tex]m=\frac{x+a}{2}[/tex] when solved for x will yield [tex]x=2m-a[/tex].

Hope this helps.

PLS PLS PLS PLS PLS PLS PLS HELP ME OUT THERE IS A PHOTO ATTACHED PLS ITS EASY I THINK FOR U PLS

Answers

No. 1.5 is a whole number while 1.5% is a percent

Which is the largest interval over which the function shown in the table is decreasing?

Answers

Answer:

c

Step-by-step explanation:

Because to make the same we have to have x as 1 which is x>0

The inverse of G(x) is a function.
A. True
. B. False

Answers

Answer:

The answer of this question is FALSE.

It’s Totally false lol

One Positive number is five times another number the difference between the two numbers is 172 to find the numbers

Answers

Answer:

x= 43, y=215

Step-by-step explanation:

Let one number be x,

Let the other number be y.

x= 5y

x - y= 172

Putting value of x in equation 2.

5y - y = 172

4y = 172

y= 172/4

y= 43

Putting value of y in eq. 1

x= 5(43)

x=215.

Carlos, Julio and Ricky were born in consecutive years Carlos was the oldest of the three and Ricky was the youngest. In 1990, after their birthday, the sum of their ages was 129. In what years were they born?

Answers

Answer:

Carlos born in 1944

Julio born in 1945

Ricky born in 1946

Step-by-step explanation:

x = Carlos age

x+1 = Julio age

x+2 = Ricky age

x + x+1 + x+2 = 129

3x + 3 = 129

3x = 126

x = 42 (Carlos age)

x+1 = 43 (Julio age)

x+2 = 44 (Ricky age)

1990 - 42 = 1944 (year Carlos born)

1990 - 43 = 1945 (year Julio born)

1990 - 44 = 1946 (year Ricky born)

Kyra is framing a square painting with side lengths of (x + 6) inches.

The total area of the painting and the frame has a side length of (2x −

5)

inches.

The material for the frame will cost $0.07

per square inch.

Answers

Complete Question:

Kyra is framing a square painting with side lengths of (x + 6) inches. The total area of the painting and the frame has a side length of (2x - 5) inches. The material for the frame will cost $0.07 per square inch.

Find the cost of the material for the frame is x = 16.

Answer:

The material cost of the frame is: $17.15

Step-by-step explanation:

Given

[tex]L_1 = (x + 6)\ in[/tex] --- Length of painting

[tex]L_2 = (2x - 6)[/tex] --- Frame and Painting

[tex]Cost = \$0.07[/tex] per square inch

Required

The cost of material of the frame

First, we calculate the area of the frame only

This is the difference between the areas of the frame and painting and the area of the painting

[tex]Area = (L_2)^2 - (L_1)^2[/tex]

[tex]Area = (2x - 5)^2 - (x + 6)^2[/tex]

Substitute 16 for x

[tex]Area = (2*16 - 5)^2 - (16 + 6)^2[/tex]

[tex]Area = (27)^2 - (22)^2[/tex]

[tex]Area = 245\ in^2[/tex]

The cost of the painting is:

[tex]Total\ Cost = Unit\ Cost * Area[/tex]

[tex]Total\ Cost = \$0.07 * 245[/tex]

[tex]Total\ Cost = \$17.15[/tex]

Hence, the material cost of the frame is: $17.15

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