2. In a study of nerve cells, researchers measured the timing of spontaneous electrical discharges in a single organism. The interspike-time intervals were approximately normally distributed with a mean of 15.28 ms and a standard deviation of 0.75 ms. Suppose you measured a random sample of n = 4 interspike-time intervals from this population. a. What is the probability that all four times in your sample are between 15.0 and 16.0 ms? (3pt) b. What is the probability that the sample mean time is between 15.0 and 16.0 ms? (3pt) c. Comparing the probabilities you calculated in parts (a) and (b), which is larger? Even if we changed the mean and standard deviation of this population, briefly explain why this will always be the case. (2pt)

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Mean (m) = 15.28

Standard deviation (σ) = 0.75

Sample size (n) = 4

What is the probability that all four times in your sample are between 15.0 and 16.0 ms?

x = 15

Zscore = (x - m) / (σ /√n)

Z = (15 - 15.28) / (0.75)

Z = −0.3733

P(Z < - 0.3733) = 0.35446

X = 16

Z = (16 - 15.28) / (0.75)

Z = 0.96

P(Z < 0.96) = 0.83147

0.83147 - 0.35446 = 0.47701

4 * 0.47701 = 1.90804

B.)

x = 15

Zscore = (x - m) / (σ /√n)

Z = (15 - 15.28) / (0.75/√4)

Z = −0.7467

P(Z < - 0.7467) = 0.22762

X = 16

Z = (16 - 15.28) / (0.75/√4)

Z = 1.92

P(Z < 1.92) = 0.97257

0.97257 - 0.22762 = 0.74495

C.) 1.9084 > 0.74495


Related Questions

Two ice cream shops in the mall sell sundaes. Let x equal the number of scoops of ice cream.​ Larry's Ice Cream​ Shop's price is represented by the expression 1.2x + 1. Ice Cream​ World's price is represented by the expression 0.4(0.3x + 1) . Which statement is​ true?
Choose the correct answer below.
A.
The two shops charge the same price for a​ 3-scoop sundae.
B.
The two shops charge the same price for a​ 2-scoop sundae.
C.
The two shops never charge the same price for sundaes with the same number of scoops.
D.
The two shops always charge the same price for sundaes with the same number of scoops.

Answers

Answer:

the answer is D.

Step-by-step explanation:

this is because if you distribute 0.4 times 0.3 you get 0.12.

then you are left with 0.12+1 which means both shops charge the same price.

Please tell me! Is this answer right?

Answers

Answer:

which one

Step-by-step explanation:

how do you solve it and how do you explain?

Answers

Answer:

so the answer is 30

now to find the answer we just need to do this...

step 1: we need to simplify the equations from both sides.

[tex]\frac{-2}{5} x = -12[/tex]

then we multiply on both sides by [tex]\frac{5}{-2}[/tex]

[tex](\frac{5}{-2}) *(\frac{-2}{5}x )= (\frac{5}{-2} )*(-12)[/tex]

which equals x= 30

Step-by-step explanation:

hope this helps!!

Adam drove 448 miles in 7 hours. If he drove at a constant rate, how far did he travel each hour? (Please answer ASAP)

Answers

Answer:

64 miles per hour

Step-by-step explanation:

448/7=64 miles

Constant rate you can just divide the number by the time in this particular situation.

can you plz give me the answer to this

Answers

Answer:

b

Step-by-step explanation:

HELP PLEASE i need to do this tonight Find 5/6 of 48.

Answers

Step-by-step explanation:

take 48 and divide it by 5/6 on a calculator

what is 0.25a−2.1=0.5a−4.1

Answers

Hi ok so all u have to do is 0.5a - 4.1 which will be -3.6 I had the same question and that was the answers hope it helps :)

Maddie, Jaeahna, Chelsea and Onella swam in the relay for Colyton at district . If the complete lap times added to 137.009 seconds. What was the average lap time for each swimmer?

Answers

Answer:

34.25 seconds

Step-by-step explanation:

Given that :

Summation of the complete lap time of each of the four swimmers = 137.009 seconds

The average lap time for each of the four swimmers will be :

The average of the total lap time ;

Total lap time / number of swimmers

= 137.009 / 4

= 34.25225 seconds

Hence, each swimmer has an average lap time of 34.25 seconds

How would you write 5^-3?

Answers

Answer:

You would make your number into a fraction to make your exponent positive which would be 1/5^3, then you simplify your exponent to get 1/125.

Step-by-step explanation:

question and choices in photo. need help ASAP

Answers

Answer:

B!!!!

Step-by-step explanation:

It is B because

X is the students.

Y for teachers.

the total of tickets sold are 530.

it can't be C because they switch the 3 and 4, so sorry.

Can anyone help ? Algebra ..

Answers

Im just answering so i can be able to message ignore me lol

Look at the picture, and please hurry!

Answers

Answer:

Step-by-step explanation:

he is poooooooooooooorrrrrrrrrrrrrrrrrr

f (x) = 5x³

g (x) = ³√x÷5

Answers

Answer:

f = 0,that symbol on bottom 5/5  g= 0, 9/25 i think

Step-by-step explanation:

In March, Terell weighed 104 1/3 pounds.
In June, he weighed 109 1/2 pounds.
How much weight did Terell gain
between March and June?

Answers

Answer:

Terell gained 5 and 1/6 pounds between March and June

Step-by-step explanation:

1. 109 - 104 = 5

2. Convert 1/3

1/3 = 2/6

3. Convert 1/2

1/2 = 3/6

4. Subtract them

3/6 - 2/6 = 1/6

(Full equation: 109 and 1/2 - 104 and 1/3 = 5 and 1/6 pounds)

A car salesman gets paid $3,750 each month plus 8.5% commission on his total sales. This month he sold 5 cars for a total of $138,000. What are his monthly total earnings?

Answers

The car salesman total earnings if he sold 5 cars for a total of $138,000 is $15480.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let y represent the total money the salesman earns for selling a total of $x sales. Hence:

y = 0.085x + 3750

If the salesman makes a total of $138000, hence:

y = 0.085(138000) + 3750

y = 15480

The car salesman total earnings if he sold 5 cars for a total of $138,000 is $15480.

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

PLEASE HELP, ASAP correct me if I’m wrong on Letter A and help on the rest please

Answers

Answer:

uygtycyniuhuy

Step-by-step explanation:

the ratio of the p is  31.5  and the area is 80 correct me if im wrong but if u need any help im always here :)

John is 4 years younger than twice Michael's age. Michael is John's younger brother. John is 18 years old. How old is Michael? Choose the equation that represents the situation.

Answers

Answer:

18=2m-4

Step-by-step explanation:

18 is the age of John. M represents the age of Michael. John is older than Michael so instead of 18=4-2m it is 18=2m-4. If you do 8=4-2m it will be inccorect because it will give you a negative. Michael is 11 years old.

This is the answer considering that x represent john’s age and y represent Michael’s age

Which of these expressions is equivalent to -2(x - 5)?
-2x + 5
-2x - 10
-2x + 10
-2x-5
Question 3
Mathematics

Answers

The answer is C) -2x+10

When doing the distributive property, multiply -2 and x to get -2x. Then, multiply -2 and -5(remember when you multiply a negative with a negative, you get a positive number) to get 10. Therefore your answer would be -2x+10.

Hope this helps!

The equivalent expression is: -2x + 10. therefore the correct option is C.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

From the distributive property;

-2(x - 5)

Then, multiply -2 and -5

-2 * x = -2x

-2 * -5 = 10

because two negatives make a positive

Therefore the answer would be -2x+10.

Hence,The equivalent expression is: -2x + 10. therefore the correct option is C.

Learn more about expression here;

https://brainly.com/question/14083225

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Jayden writes 1/8 page in 1/3 of a minute. How much time will it take Jayden to write a full page?

Answers

Answer:

80 seconds

Step-by-step explanation:

Did the math in my head

it will take Jayden 8/3 minutes to write a full page or 2 and 2/3 minutes if simplified

Solve the following system of equations 2x + y equals 1 -4x + y equals negative 1

Answers

Answer:

d

Step-by-step explanation:

Type the SLOPE (type only numbers).

Answers

Answer:

-5/1

Step-by-step explanation:

The y-intercept is 56, and since it will keep on dropping, it will be -5

Answer:

5/1

Step-by-step explanation:

Hi, my name is Leah and I am in 5th grade. I need some help with my math homework and if you could help I would really appreciate that. :)

So the question is Logan estimated 5,861 + 1,278 using front-end estimation. What did he add?

A. 5,000 + 1,000
B. 5,000 + 2,000
C. 6,000 + 1,000
D. 6,000 + 2,000

Answers

Answer:

D

Step-by-step explanation:

If it is over 500 you round up. If its lower than 500 you round down.

Answer:

Hi Leah that answer is 6,000 + 2,000=

Step-by-step explanation:

Hope this helps :)

Terrell has already taken 34 pages of notes on his own, and he will take 1 page during each
hour of class. After attending 11 hours of class, how many total pages of notes will Terrell
have in his notebook?

Answers

he will have 45 pages in his notebook

Answer:

45 pages of notes

Step-by-step explanation:

34+11=45

I need help with this please. This is a 3rd grader's math assignment.

Answers

Answer: 3 x 13 is 39

Step-by-step explanation:

you can use the distributive property by breaking it up into smaller parts and adding for example (6+7) + (13+6) +7

Answer: 3 x 13 is 39

Step-by-step explanation:

you can use the distributive property by breaking it up into smaller parts and adding for example (6+7) + (13+6) +7

5x^2-22x+8=0
can you find the roots?​

Answers

Step-by-step explanation:

Answer:

x = [tex]\frac{2}{5}[/tex], x = 4

Step-by-step explanation:

Given

5x² - 22x + 8 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 5 × 8 = + 40 and sum = - 22

The factors are - 20 and - 2

Use these factors to split the x- term

5x² - 20x - 2x + 8 = 0 ( factor the first/second and third/fourth terms )

5x(x - 4) - 2(x - 4) = 0 ← factor out (x - 4) from each term

(x - 4)(5x - 2) = 0

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]

Which values of a, b, and c correctly represent the answer in simplest form?

4 and one-half divided by 1 and one-fourth = a StartFraction b Over c EndFraction

Answers

Answer:

b.

Step-by-step explanation:

Part A
Find the y-intercept, b, and the slope, m, of the line.
Show your work.
Answer
Part B.
Write the equation of the line.
Equation
I NEED OT PLZZZZ HELLO???

Answers

for part a:
y-intercept/b = 6
slope/m = -2

for part b:
y = -2x + 6

Rewrite equation in slope intercept form, if necessary. Then determine whether the lines are parallel. Explain. 23. Y = -x + 6 24. Y - 7x = 6 25. 3x + 4y = 12 26. 2x + 5y = -1 x + y = 20 y + 7x = 8 6x + 2 = 6 10y = -4x - 20

Answers

Answer:

Step-by-step explanation:

Slope intercept form

[tex]y= mx + c[/tex]

m=slope

c= intercept

1)  y= -x + 6      

2) y=7x + 6

3) y= -3/4x + + 3

4) y= -2/5x - 1/5

5) y= -x + 20

6) y= -7x + 8

7) y= -3x + 3

8) y= -2/5x -2    

Line 1 and 5 are parallel because both have the same slope of -1

line 4 and 8 are also parallel as the their slopes are -2/5

express the ratio 60cm to 20m

Answers

Answer:

3 cm : 1 cm

Step-by-step explanation:

1. 60 : 20

2. divide 10 on both sides = 6 : 2

3. divide by 2 on both sides = 3 : 1

4. 3 cm : 1 cm

I'm so sorry, I just read the ratio is 60 cm to 20 M

So edit:

convert both into a unit, we'll take m.

1 cm = 100 m

so 60 x 100 = 60000 m

= 60000 m : 20 m

= divide by 20 in both sides...

= 3000 m : 1 m

What is the equation in slope - intercept form of the line that has a slope of 0.25 and passes through the point (6, -8)?

Answers

Step-by-step explanation:

y-b=m(x-a)

y--8=1/4(x-6)

y+8=1/4(x-6)

4y+32=1(x-6)

4y+32=x-6

4y=x-38

y=1/4x-38/4

or -x+4y+38=0

or -×+4y= -38

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