A small liberal arts college in the Northeast has 350freshmen. One hundred five of the freshmen are female. Suppose sixty freshmen are randomly selected (without replacement).Step 2 of 2:Find the standard deviation of the number of females in the sample. Round your answer to two decimal places, if necessary.

Answers

Answer 1

Answer:

The standard deviation of the number of females in the sample is 3.21.

Step-by-step explanation:

For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.

Standard deviation of the hypergeometric distribution:

We have that:

N is the population size.

n is the sample size.

s is the number of successes in the sample.

The standard deviation is given by:

[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]

A small liberal arts college in the Northeast has 350freshmen.

This means that [tex]N = 350[/tex]

One hundred five of the freshmen are female.

This means that [tex]s = 105[/tex]

Suppose sixty freshmen are randomly selected

This means that [tex]n = 60[/tex]

Find the standard deviation of the number of females in the sample.

[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]

The standard deviation of the number of females in the sample is 3.21.


Related Questions

what is the measurement of YVX?​

Answers

Answer:

the measurement of YVX is 88°

A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Answers

Answer:

Expected value for 4 tickets = $ -7.6

Step-by-step explanation:

Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.

To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Proof -

Given that,

A lottery offers

one $ 900 prize

one $ 600 prize

three $ 400 prizes

Four $ 100 prizes

And

One thousand tickets are sold at $ 5 each

Now,

If the person bought 1000 tickets then the prize he gets is

= 900 + 600 + 3×400 + 4×100

= 900 + 600 + 1200 + 400

= $3100

And

The cost of 1000 tickets = 5×1000 = $ 5000

Now,

Price 1 ticket = [tex]\frac{3100}{1000}[/tex] = $ 3.1

⇒Expectation of 1 ticket = $ 3.1 - 5 = $ -1.9      (Here $5 is price of 1 ticket)

⇒Expected value for 4 tickets = $ 4× -1.9 = $ -7.6

⇒Expected value for 4 tickets = $ -7.6

In a school of 1,450 students, 32% of the students went on the field trip. How many students didn't go on a field trip?

_______did not go on the field trip.

Answers

986 didnt go to the field trip

find 3/4 of 32
please show all your work for full credit

Answers

Answer:

24

Step-by-step explanation:

[tex]\frac{3}{4} *32\\=\frac{3}{4}*\frac{32}{1} \\=\frac{96}{4} =24[/tex]

Of means product which is also called multiplication. 3/4 of 32 is the same as 3/4 multiplying 32 which is 24.

A bike shop is having a sale 40% off all bikes. If you see a bike for $280, how much will you pay after receiving the 40% discount?

Answers

the answer would be $112.
explanation:
40%——> .40
280 x .40 = 112


The stem-and-leaf plot shows the amount of money each student in Spanish club collected for charity this semester. How many
male students are represented in the stem-and-leaf plot?
A)
14
B)
26
40
D)
72

Answers

Its  72 I hope it helped.

The difference of two numbers is 8 and their quotient is 2.

Answers

Answer:

16 ÷ 8 = 2

Step-by-step explanation:

It was really simple actually

Answer:

16 - 8 = 8

Step-by-step explanation:

16 divided by 8 = 2

Suppose that an airplane is currently flying at an altitude
of 31,680 feet and will be landing on a tarmac 120 miles
away. Find the average angle at which the airplane must
descend for landing. Round your answer to the nearest
unit.

Answers

Answer:

i just want points

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

A study was conducted to investigate the effectiveness of a new aspirin-derivative in reducing pain. Results for randomly selected subjects are presented in the Assignment # 8 Excel worksheet. A lower score indicates less pain. The "before" value is matched to an "after" value and the differences are calculated ( on your excel worksheet ) . The differences have a normal distribution. Are the pain-reduction measurements, on average, lower after taking the new aspirin-derivative ? Test at a 1 % significance level.

Answers

Ddddxxxxddxdddddddddc

find the mad: 250, 249, 251, 253, and 253

Answers

Its 250 for sure i have not done mads for a while now.

So maybe double check me with someone else

Answer:

It's 1.44

Step-by-step explanation:

Solve for x. Each figure is a trapezoid.
12) MK = 23
LJ = 4x - 9

Answers

Answer:

32

Step-by-step explanation:

23

Write an equivalent expression that does not use parentheses.

9(3 - x)

Answers

-9x+27

You can use distributive property to open up the brackets and get an equivalent expression.

Hope that helps :)

Answer:

i'm going to be honest and say sorry if i its wrong but

i think its 27 - 9x  

and ageing sorry if its wrong

Step-by-step explanation:

Find the missing probability.
P(A) = ?
P(B) = 2/5
P(A and B) = 6/25

Answers

The missing probability will be P(A) = 3/25. The correct option is C.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. Probability is used in mathematics, statistics, and many other fields to quantify uncertain or random events.

To find the missing probability P(A), we can use the formula for the probability of the intersection of two events:

P(A and B) = P(A) * P(B|A)

Where P(B|A) is the conditional probability of B given A.

Rearranging this formula, we get:

P(A) = P(A and B) / P(B|A)

To find P(B|A), we can use the formula for conditional probability:

P(B|A) = P(A and B) / P(A)

Substituting this into the first formula, we get:

P(A) = P(A and B) / (P(A and B) / P(A))

Simplifying, we get:

P(A) = P(A and B) / P(B)

Substituting the given values, we get:

P(A) = (6/25) / (2/5)

Simplifying, we get:

P(A) = (6/25) x (5/2)

P(A) = 3/25

Therefore, the missing probability is P(A) = 3/25.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

Mrs. Daniel packs reams of paper into boxes. The box has a mass of 18
ounces, and each ream of paper weighs 22 ounces. If the function
y = 22x + 18 describes the total mass, the variable x represents the —
A.total mass of a box filled with reams of paper
B.total number of boxes filled with reams of paper
C.mass of each ream of paper inside a box
D.number of reams of paper packed in a box

Answers

Should be B the total numbers of boxes filled with reams

-12(5/6a-7/8)+1/14(3 1/2a-1 2/5)

Answers

-12(5/6 a -7/8) + 1/14(3 1/2 a- 1 2/5)

First change mixed fractions to be full fractions

-12(5/6 a -7/8) + 1/14 (7/2 a - 7/5)

Now multiply out

-12(5)/6 a -12(-7)/8) + 7/14(2) a -7/14(5)
-60/6 a + 84/8 + 7/28 a -7/70
-10a + 10.5 + 1/4a - 1/10
-10a + 0.25a +10.5 -0.1
-9.75a + 10.4

*if this =0 and you need to solve for a then
9.75a=10.4
a= 10.4/9.75
a=16/15

y = x^3 + 5x^2 + 3x x= -3

Answers

Answer:

9

Step-by-step explanation:

-3^3 +5*(3)^2 +3*-3

-27+5*9+(-9)

-27+45-9

=9

Answer:

Step-by-step explanation:

Wherever you see an x, put in -3

y=(-3)^3 + 5(-3)^2 + 3(-3)

y = - 27 + 5 * 9 +  -9

y = -27 + 45 - 9

y = 9

30 beads divided into 5 groups is represented by which fraction

Answers

Answer:

30/5=6  the fraction is 30/5

Step-by-step explanation:

Surface are of prisms

Answers

Answer:

Area of cube formula - A=6a2

Area of rectangular prism - A=2(wl+hl+hw)

Answer:

1. Nets

2. Surface Area

3.area

4. add

5. A= 1/2 bh

Step-by-step explanation:

Side A- 8x5 = 40 sq.m

Side B - 3x8 = 24 sq.m

side c - 5x8 = 49 sq.m

side d - 1/2 ( 3x 2) = 3

side E- 1/2 (3x2) = 3

Area of rectangular prism - 2 (wl + wh + lh)

surface area of cube = 6a^2 ( a is edge)

Please no links!! Can’t open them! Thanks

Answers

b i think don’t come at me if it’s wrong lol

What is 0.06 x 0.4 =

Answers

Answer:

0.024

Step-by-step explanation:

First, multiply 6 by 4 to get 24. Since there is a hundredth and a tenth, you have to move the digit 3 units right to get 0.024.

Sorta don't know how to explain this but hope this helps

15 Points for this and brainliest pls help I am soooooo desparateeeeeeeeee

Answers

Answer:

cant see the words clearly please type the words and answers !!

I think it is 130 if it’s wrong I’m sorry

what is log17 60 evaluated?

Answers

Answer:

1.77815125038

Step-by-step explanation:

list five causes of egg breakage in poultry production​

Answers

1. Overweight pullets

2. Pullets coming into lay  

3. Poor hygiene: Cage, trays

4. Heat stress

5. Bird age

Answer:

Aging hens, decreased lighting conditions, molting, omission of feed ingredients

Step-by-step explanation:


A company installs a rectangular septic tank 30 ft long by 15 ft wide and 2 ft deep. Calculate the capacity of the tank in gallons. (Use 1ft3 = 7.48 gal.)

Answers

Answer:

V = lwh

V = 15 x 2 x 30

V = 900 cu.ft

V = 900 cu.ft x 7.48 gal/ cu.ft

V= 6,732 gal

When you roll a number cube, there are 6 possible _____.

a.) dots
b.) sides
c.) outcomes
b.) none of these

Answers

the correct answer is C, outcomes

Answer:

c. outcomes

Step-by-step explanation:

what an expression that is equivalent to 7/8​

Answers

Answer:

0.875 is the equivalent fraction

Choose all equivalent expression(s). ab^-3x=

Answers

Answer:

Is there a photo the problem or is that just it?

Answer:

The answer is the last two.

Step-by-step explanation:

SOLVE FOR X!!
(will mark brainliest))

Answers

I think x is 15 because you set each side equal to each other to find x

Answer:

x=15

Step-by-step explanation:

Hello there!

The shown angles are vertical angles

if you didn't know vertical angles are congruent

That being said we can create equation

5x + 40 = 115

now we solve for x

step 1 subtract 40 from each side

40 - 40 cancels out

115 - 45 = 75

now we have 75 = 5x

step 2 divide each side by 5

5x/5=x

75/5=15

we're left with x = 15

please help me w ith thsi

Answers

Hi there! :)

[tex]\large\boxed{A = 12.5 \text{ units}^{2}}[/tex]

Find the area of the shape using the formula for the area of a trapezoid:

A = 1/2(b1 + b2) · h

Where:

b1 = base 1

b2 = base 2

h = height

A = area

Plug in the given bases and height:

A = 1/2(7.5 + 2.5) · 2.5

Simplify:

A = 1/2(10) · 2.5

A = 5 · 2.5

A = 12.5 units²

help me plz i will give you all my points

Answers

Answer:

3.8

Step-by-step explanation:

find a common denominator
2 2/10 + 1 3/5
=2 2/10 + 1 3/10
=2 2/10 + 1 6/10
=3 8/10
reduced is 3 4/4
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