The weights for newborn babies is approximately normally distributed with a mean of 5.5 pounds and a standard deviation of 1.6 pounds.


Consider a group of 800 newborn babies:


1. How many would you expect to weigh between 3 and 8 pounds?


2. How many would you expect to weigh less than 6 pounds?


3. How many would you expect to weigh more than 5 pounds?


4. How many would you expect to weigh between 5.5 and 9 pounds?

Please help and STEP BY STEP PLZ.

Answers

Answer 1

Compute each probability. The strategy is to transform X, a random variable representing the weight of newborns, to another random variable Z that represents the same but scaled quantity so that Z is normally distributed with mean 0 and s.d. 1. To do this, we use the rule

X = 5.5 + 1.6 Z

or

Z = (X - 5.5)/1.6

then use a calculator to compute the probability, or look it up in a table. Multiply this probability by 800 to find the number of newborns in each category.

1.

Pr[3 ≤ X ≤ 8] = Pr[(3 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (8 - 5.5)/1.6]

… ≈ Pr[-1.5625 ≤ Z ≤ 1.5625]

… ≈ 0.8818

Out of 800 babies, you would expect around 88% of them, or about 705 babies to weight between 3 and 8 pounds.

2.

Pr[X < 6] = Pr[(X - 5.5)/1.6 ≤ (6 - 5.5)/1.6]

… = Pr[Z ≤ 0.3125]

… ≈ 0.6227

Out of 800 babies, around 498 will weigh less than 6 pounds.

3.

Pr[X > 5] = Pr[(X - 5.5)/1.6 > (5 - 5.5)/1.6]

… = Pr[Z > -0.3125]

… ≈ 0.6227

same as (2) due to the symmetry of the distribution (Z is centered at zero). Out of 800 babies, you can expect around 498 in this group.

4.

Pr[5.5 ≤ X ≤ 9] = Pr[(5.5 - 5.5)/1.6 ≤ (X - 5.5)/1.6 ≤ (9 - 5.5)/1.6]

… = Pr[0 ≤ Z ≤ 2.1875]

… ≈ 0.4857

Out of 800 babies, around 388 will weigh between 5.5 and 9 pounds.


Related Questions

$ 350 is shared in the ratio 2:5. The SMALLER share is

Answers

Answer:

$100

Step-by-step explanation:

sum the parts of the ratio, 2 + 5 = 7 parts , then

$350 ÷ 7 = $50 ← value of 1 part of the ratio , then

2 parts = 2 × $50 = $100 ← smaller share

The automobile drove 50 mph and had gone 200 miles when the airplane set out in pursuit. It took 4 hours to overtake the car. What was the speed of the airplane?

Answers

100 mph per hour

Step-by-step explanation:

solution

speed of auto mobile=50mph

distance already traveled when the airplane took out in pursuit=200miles

time taken to overtake the car=4 hours

Now,

let the speed of airplane be X

X=50×4+200

or,X=200+200

or,X=400

or, X=400÷4

Therefore, X=100


I’m genuinely confused on this, can someone explain how to do this problem?

Answers

Answer:

[tex]n \times 12[/tex]

.......

3+3=6! Easy for kids to learn!

Answers

Answer:

indeed

Step-by-step explanation:

3+3=6

What is the equation of a circle with center at (4,-6) and radius of 5?​

Answers

Answer:

Since the centre of the circle is (−4,−5) and its radius =6

Then, the equation of the circle is

⇒(x−(−4))

2

+(y−(−5))

2

=6

2

⇒(x+4)

2

+(y+5)

2

=36

⇒x

2

+8x+16+y

2

+10y+25−36=0

⇒x

2

+y

2

+8x+10y+5=0

Step-by-step explanation:

Paki brainlilest na lng po salamaf

If b= 62 degrees and c=24, find b.

Answers

Answer:

21.2

Step-by-step explanation:

b = sin of angle B times length of c

b = 24*sin(62) = 21.1907

Answer A

21.2

Step-by-step explanation:

PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT!! (Screenshot)

Answers

The correct answer is 6 2/3

explain how you your answer

Answers

Answer:

1.43 = x

Step-by-step explanation:

Math in the picture attached. Hope it helps!

Eva and Jamir like to bake cookies. Eva baked 24 chocolate chip cookies, and Jamir baked ppp peanut butter cookies. Together they baked a total of 56 cookies.

Answers

Jamir baked 32 peanut butter cookies

Travel back in time to the year 2008, when text messages were charged per text. Some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that. Today, most packages include unlimited text and data but cost closer to $100 a month.

Answers

In 2008, up to 405 messages could be sent without spending more than $ 100.

Since in 2008, text messages were charged per text, and some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that, while today, most packages include unlimited text and data but cost closer to $ 100 a month, to determine the range of text messages you can send with the 2008 plan without spending more than $100, the following calculation must be performed:

(41 / 0.2) + 200 = X 205 + 200 = X 405 = X

Thus, in 2008, up to 405 messages could be sent without spending more than $ 100.

Learn more about maths in https://brainly.com/question/25908673

HELP ME PLEASEEEEEE I WILL GIVE BRAINLIEST

Answers

Answer:

DE, EW, WD

Step-by-step explanation:

From shortest line to longest line this would be the correct order.

A store is having a sale on trail mix and jelly beans. For 5 pounds of trail mix and 3 pounds of jelly beans, the total cost is $17. For 2 pounds of trail mix and 12 pounds of jelly beans, the total cost is $23. Find the cost for each pound of trail mix and each pound of jelly beans.

Answers

Answer:

Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.

Step-by-step explanation:

Using x for trail mix and y for jelly beans, we have a system of equations being

[tex]\left \{ {{5x+3y=17} \atop {2x+12y=23}} \right.[/tex]

We can solve this system using substitution

5x+3y=17

Divide by 5 to have a coefficient of 1 before x

[tex]x+\frac{3}{5} y=\frac{17}{5}[/tex]

Subtract [tex]\frac{3}{5} y[/tex] from each side to single out one variable to one side

[tex]x=\frac{17}{5} -\frac{3}{5} y[/tex]

Now, we can plug in our value for x into the given equation

[tex]2(\frac{17}{5} -\frac{3}{5} y)+12y=23[/tex]

Open the parentheses

[tex]\frac{34}{5} -1\frac{1}{5} y+12y=23[/tex]

Merge Y values

[tex]6.8+10.8y=23[/tex]

Separate numerical values from variables

[tex]10.8y=16.2[/tex]

Divide by 10.8 in order to have a coefficient of 1

[tex]y=1.5[/tex]

Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

[tex]5x+3(1.5)=17[/tex]

Open parentheses

[tex]5x+4.5=17[/tex]

Single out the variable

[tex]5x=12.5[/tex]

Divide by 5 to have a coefficient of 1 before x

[tex]x=2.5[/tex]

[tex]y=1.5[/tex]

What is the slope of the line that passes through the points (6-8) and (10,-8)?

Answers

Answer:

The slope of the line that passes through the points would be 0

Step-by-step explanation:

Lets use the formula : y2-y1/x2-x1

In this case lets let y2 be -8 and y1 be -8

And lets let x2 be 6 and x1 be 10, that would look like..

-8-(-8)/6-10

which equals...

0/-4 = 0

We know that the slope of the line is 0

Find the measure of the angle marked and indicated in bold.

Answers

Answer:

105° your answer

Step-by-step explanation:

parrallel line = gongruent angles

16x - 7 = 15x

16x - 15x = 7

x = 7

------------------------

7 * 15 = 105° your answer

--------------------------------

16 * 7 - 7 = 15 * 7

105 = 105

the answer is good

Can someone please help me with both questions I will mark u brilliant

Answers

1. We can simply multiply 6.50 by 2!

6.50 x 2 = 13

The book cost $13

2. The easiest way to do this is to convert the fractions into decimals.

1/4 = 0.25

1/5 = 0.2

1/8 = 0.125

Add them together: 0.575!

Subtract this from 1: .425

Multiply by 100: 42.5

42.5% is your answer!

Hope this helps!

Answer: B

Step-by-step explanation:

could you help me with this? its an ss here:

Answers

-8-5=2 i think this is right i could b wrong
2-(-8)=10

When subtracting a negative number, you will actually add. You can double check this by counting on the number line. Make sure you count by 2.

Pls help Don’t put the answers in files thank you

Answers

Answer:

hmmm

Step-by-step explanation:

hmmm

Can u help me with my homework

Answers

Ur dad Ur dad Ur dad

P(A ∪ B) = 0.8, P(B) = 0.5, P(A ∩ B) = 0.3. Find P(A). P(A) =

Answers

Answer:

The answer is 0.6

Step-by-step explanation:

I find it helpful to setup a Venn Diagram when dealing with these. This chart is pretty useful when dealing with set notation.

Then, you can set this up as a system of equations. So, based on your problem, we can setup the system like this:

x + y + z = 0.8

y + z = 0.5

y = 0.3

If you solve this, you will get:

x = 0.3

y = 0.3

z = 0.2.

To get P(A), you x and y to get x + y = 0.6

PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line

Answers

three points would include (0,0), (6,10), (9,15) (-3,-5)

Help ASAP please. I really need the answer as soon as possible

Answers

Answer:

y intercept is 6 and the rate of change is Y=3x+6

Step-by-step explanation:

Answer:

y intercept = 6

rate of change = -4

Step-by-step explanation:

the line hits the y axis at 6 so that is the y intercept

The line falls 4 and goes over 1

I hope this helps!!

The high temperature was recorded as 25.6°F. The low temperature that same day was recorded as −2.7°F. What was the difference between the high and low temperatures for that day? Enter your answer as a decimal in the box.

Answers

28.3

Step-by-step explanation:

the difference is the answer to a subtraction problem so we can plug in our numbers like this

25.6-(-2.7) which equals 28.3

a good thing to remember when subtracting negative numbers is that a positive and negative won't always make a negative like in this example

Answer:

He's right it's 28.3

Step-by-step explanation:

CAN YOU PLS HELP MEEEE

Answers

Answer:

10x−2y

Step-by-step explanation:

Just ask!

Hope this helps. :)

[tex] \: \: \: \: \: \: [/tex]

[tex]10x - 2y[/tex]

Step-by-step explanation:

[tex]8x - 2y + x + x[/tex]

Collect like terms

[tex] = \: \: \: \: 10x - 2y[/tex]

hope it helps

Jill bought 7 pounds of melon and 0.9 pounds of cherries. How much fruit did she buy in all

Answers

Answer:

7.9 pounds of fruit

Step-by-step explanation:

In all means to add, so 7 + .9 = 7.9 pounds


Explain why and show how the expression -x might represent a positive number, a negative
number, or even 0.

Answers

If the variable is a negative you get -(-1) and minus a negative is positive. If the variable is a positive number the - makes it negative. If the variable is 0 we’ll it equals 0.

solve 557+3 using number disks

Answers

557+3=560 cuz 57+3 = 60 and 60+500= 560

write the L.C.M of 5,8

Answers

Concept : -

From the given question we are asked to find the least common multiple of two given numbers. Here for this question, we will use the prime factorisation method and find the factors for the two given numbers and then we find the least common multiple for the numbers given. So, we proceed with our solution as follows.

Required Answer :-

2 | 5, 8

_______

2 | 5, 4

_______

2 | 5, 2

_______

5 | 5, 1

_________

1, 1

2×2×2×5 = 40

Additional information :-

We should remember the concept of least common multiple, which means the smallest number that two numbers both can get to or which is the common multiple between two numbers. We should know that we have different method to find the least common multiple like listing the multiples, prime factorization and division

Solve 2/5 - 1/7
Help pls this is timed!!!!

Answers

Answer:

9/35

Step-by-step explanation:

Answer:

9/35

Step-by-step explanation:

ok so find the lcm of 2/5 and 1/7: this is 35

then convert them

2/5 = 14/35

1/7 = 5/35

14/35 - 5/35 is 9/35

Find x round. your answer to the nearest tenth of a degree

Answers

Answer:

x = 55.6

Step-by-step explanation:

Recall the 3 main trig functions

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent

Note that hypotenuse = longest side length

We want to find angle "x".

We are given its opposite side length ( 19 ) as well as the adjacent side length

When dealing with the opposite and adjacent we use tan

Tan = Opp / Adj

Opp = 19 and Adj = 13

Tan(x) = 19/13

* take the inverse tan of both sides *

x = 55.6

Find the difference (6d+5) - (2-3d)

Answers

Answer:

(9d+3)

Step-by-step explanation:

(6d+5)-(2-3d)

>(6d+5)+(-2+3d)

>{(6d+3d)+(5-2)}

=(9d+3)

Other Questions
Hey! i need some help with a math question if anyone doesn't mind helping-35 = 4x + 7yes, this is a very simple equation but i have the brain of a 5th grader lol. Help please !!!!!!!!!! PLS HELP!! cada prediccin con el futuro del verbo entre parntesis.1. T intentars salvarte, pero no ____ (poder)2.Nadie ____(escaparse) del peligro.3.Casi todos nosotros __ moriremos.(morirse)4.Nosotros les entregaremos oro, plumas y joyas a los hombres, pero eso no ser _____(suficiente) In the song, 12 days of Christmas how many gifts does the girl get? I need help with the multiple choice 40 percent of students survey said that they are night owls . If 300 students said that they are night owls how many students were surveyed ? What app is best to learn spanish What is the formula for calculating simple interest?A. Simple interest - Principal - Rate < TimeB. Simple interest = Principal - Rate + TimeC. Simple interest = Principal Rate < TimeD. Simple interest = Principal + Rate < Time Does Federalism make the state governments equal in power to the federal government? Explain your answer. (PLEASE HELP) Which event takes place first in the stages before the birth of a star? If a label indicated the presence of a radioactive isotope, you would know whatabout the substance? Write a two-column proof.I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!refer to images for questionMUST WRITE FULL PROOF Two angle measures of this triangle are 60. Which type of triangle is it? O A. obtuse O B. scalene O C. equilateral O D. rightplz need help now :( evaluate the expression when x= 2and y= -3 x+y Help help help help Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3.6). I have two questions 1.How was representative government limited in the colonies?2.what were four rights granted by the Magna Carta? The State of Florida has seen an increase in traffic accidents over the past 10 years and has decided to improve traffic safety. Which step in the policy cycle are lawmakers currently on? Policy AdoptionAgenda SettingPolicy FormulationPolicy ImplementationPolicy Evaluation I dont wanna fail if you know the answer pls help me me :( write a 500 or more word report on sin