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
Please help me understand and explain it to me please.<br><br>Recursive Sequence Function ​
DedPeter [7]

A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.

We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule

f(n + 1) = -4 f(n) + 3

We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)

f(1 + 1) = -4 f(1) + 3

f(2) = -4 • 1 + 3

f(2) = -1

We do the same thing to find the next term f(3) :

f(2 + 1) = -4 f(2) + 3

f(3) = -4 • (-1) + 3

f(3) = 7

One more time to find the next term f(4) :

f(3 + 1) = -4 f(3) + 3

f(4) = -4 • 7 + 3

f(4) = -25

4 0
2 years ago
Given that f(x)=x^2-3x-54 and g(x)=x+6, find (f•g)(x) and express the result in standard form
love history [14]

Answer:

׳+3ײ-72×-324

Step-by-step explanation:

I hope it help

7 0
2 years ago
Mr. Carr has to buy each of his 24 students a flash drive. Each flash drive costs $12.
krok68 [10]

Multiply the price of a flash drive by the number he buys:

$12 x 24 = $288 total

4 0
3 years ago
Read 2 more answers
Urgent. Factor the trinomial by grouping. Please show work. 14x^2y+9xy^2+y^3. If prime, show how you got prime answer.
ch4aika [34]

Answer:

y x (2x +y) x (7x +y)

Step-by-step explanation:

14x^2y + 9xy^2 +y^3

(Factor the expression)

y x (14x^2 +9xy +y^2)

(Rewrite the expression)

y x (14x^2 + 7xy +2xy +y^2)

(Factor the expression)

y x (7x x(2x +y) + y x (2x +y) )

(Factor the expression)

y x (2x +y) x (7x +y)

:))

3 0
3 years ago
A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang
Ksju [112]

Answer:

x^3+x^2-5x+28

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

1. distribute parentheses \left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4

2. apply +(-a)=-a rule x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4

3. Simplify

    Steps to simplify:

x^2x=x^3

3xx=3x^2

3\cdot \:4x=12x

7\cdot \:4=28

x^3+4x^2-3x^2-12x+7x+28

4. Add like terms =x^3+4x^2-3x^2-5x+28

5. Add like terms =x^3+x^2-5x+28

6 0
3 years ago
Other questions:
  • The midpoint for 3.99 and 4
    12·1 answer
  • Plz help n let me know if im correct thanks!
    10·2 answers
  • Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4pi units. The base of cylinder B has an
    10·1 answer
  • PLS HELP ME ILL MARK BRAINLEIST
    15·1 answer
  • A regular hexagon ABCDEF is shown……work out the size of angle x
    10·2 answers
  • A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has eight ident
    10·1 answer
  • Help me please please please
    9·1 answer
  • Evaluate each expression (25 -3/5) 1/3
    11·2 answers
  • What is the radius of a circle with a Circumference of 64 pi yards?
    8·1 answer
  • O. The number of for attending football match this week was 12% more more than last week. if 728 people attended this week's mat
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!