1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ValentinkaMS [17]
3 years ago
10

CCA has stated in 2017 that 36.5 % of its students are first generation college students.Suppose you sample 15 CCA students and

ask if they are first generation college students or not, counting the number of first generation students.
a. Create a binomial probability distribution (table) for this situation.
k P(X = k)
0
1
2
3
4
5
b. Give the mean of the binomial distribution. $
c. Give the standard deviation of this binomial distribution.
d. Compute the z-score for the outcome x = 2 students are the first generation.
Mathematics
1 answer:
nignag [31]3 years ago
6 0

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - p) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 36.5% = 36.5/100 = 0.365

q = 1 - p = 1 - 0.365

q = 0.635

n = 15

a) P(x = 0) = 15C0 × 0.365^0 × 0.635^(15 - 0) = 0.0011

P(x = 1) = 15C1 × 0.365^1 × 0.635^(15 - 1) = 0.0095

P(x = 2) = 15C2 × 0.365^2 × 0.635^(15 - 2) = 0.038

P(x = 3) = 15C3 × 0.365^3 × 0.635^(15 - 3) = 0.095

P(x = 4) = 15C4 × 0.365^4 × 0.635^(15 - 4) = 0.16

P(x = 5) = 15C5 × 0.365^5 × 0.635^(15 - 5) = 0.21

k P(X = k)

0 0.0011

1 0.0095

2 0.038

3 0.095

4 0.16

5 0.21

b) mean = np = 15 × 0.365 = 5.475

c) standard deviation = √npq

= √15 × 0.365 × 0.635

= 1.86

d) z = (x - mean)/standard deviation

x = 2

z = (2 - 5.475)/1.86 = - 1.87

You might be interested in
2(3w-5y) expanded <br>please ​
Snezhnost [94]
<h2><u>DISTRIBUTIVE PROPERTY</u></h2>

The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.

In general terms:

<h3>m(n + p) = mn + mp</h3>

‎      ‏‏‎

<u>In this exercise</u>:

Let's apply the distributive property:

\mathsf{2(3w - 5y)}

= \mathsf{2(3w) - 2(5y)}

= \boxed{\mathsf{6w - 10y}}

‎      ‏‏‎

<h3><u>Answer</u>: 6w - 10y</h3>

‎      ‏‏‎

7 0
3 years ago
Simplify the expression 3 (5x)
Dovator [93]

Answer:

15x

Step-by-step explanation:

i just know (100% positive)

3 0
3 years ago
Read 2 more answers
Solve for b. Help! Explain steps!
Doss [256]

Answer:

what is the unit and class

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How do you determine the net force of an object?
Dvinal [7]

Answer:

you determine net force of an object by using this formula:

F=M×A or force=mass×acceleration

really hope this helps:)

5 0
3 years ago
4. The distance covered by the cook in Triangle A equals _______________ eighteen-inch steps.
laiz [17]
We know that

<span>to convert feet to inches we must multiply by 12

</span>4. The distance covered by the cook in Triangle A equals 
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*16*12=2880 in
then add, 960 + 2640 + 2880 = 6480 in

the answer asks for the distance in 18 in lengths 
so divide 6480 by 18 -------------> 6480/18=360 

the answer part N 4) is 360 eighteen-inch steps
<span>
5. The distance covered by the cook in Triangle B equals 
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*16*12=1920 in
c) sink and stove--------------> 15*16*12=2880 in
</span><span>then add, 960 + 1920 + 2880 = 5760 in
</span>
<span>the answer asks for the distance in 18 in lengths
so divide 5760 by 18 -------------> 5760/18=320 
</span><span>
the answer part N 5) is 320 </span>eighteen-inch steps

6. The distance covered by the cook in Triangle A equals 
a) fridge and stove-----------> 5*15*12=900 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*15*12=2700 in
then add, 900 + 2640 + 2700 = 6240 in

the answer asks for the distance in 18 in lengths 
so divide 6240 by 18 -------------> 6240/18=346.67------> 347

the answer part N 6) is 347 eighteen-inch steps<span>

</span>
3 0
3 years ago
Other questions:
  • Tommorow I have maths exam can anyone help me please grade 9 cbse
    14·1 answer
  • Which expression has a value of –12?
    7·1 answer
  • How many four-digit personal identification numbers (PIN) are possible if the PIN cannot begin or end with a 0 and the PIN must
    13·2 answers
  • Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair.
    14·2 answers
  • Which unit would be best for measuring the thickness of a coin?
    10·1 answer
  • 34 down, 16 left to go!
    15·1 answer
  • Joe drove 80 kilometers per hour for 4 hours. How far did he go?
    10·2 answers
  • Change this fraction to an equivalent fraction with multiplication.<br><br> 4/7 = ______
    6·2 answers
  • What is the equation for slope: 3 and y intercept: -8
    15·1 answer
  • Answer this please I’m not sure of the answer
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!