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
bonufazy [111]
3 years ago
9

The Census Bureau's Current Population Survey shows that 28% of individuals, ages 25 and older, have completed four years of col

lege. For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0

Answer:

19.35% probability that five will have completed four years of college

Step-by-step explanation:

For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

28% of individuals

This means that p = 0.25

For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?

This is P(X = 5) when n = 15. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{15,5}.(0.28)^{5}.(0.72)^{10} = 0.1935

19.35% probability that five will have completed four years of college

You might be interested in
In a survey of 702 students, 2/3 liked rock music. How many students liked rock music?
MissTica

Answer:

468

Step-by-step explanation:

702 divided by 3 times 2

4 0
3 years ago
Rounded to the thousands place :) thank you!! <br><br> 5e^3x – 4 = 31
Lerok [7]

Step-by-step explanation:

Add 4 to both sides: 5e^3x = 35, or

7 0
3 years ago
A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She takes a random s
masha68 [24]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
What is 4 and3/4 × 4 and 1/8
Ber [7]
So,

Convert to improper fractions.

4 \frac{3}{4} --\ \textgreater \  \frac{19}{4}

4 \frac{1}{8} --\ \textgreater \  \frac{33}{8}

Multiply.

\frac{19}{4}* \frac{33}{8} = \frac{627}{32}\ or\ 19 \frac{19}{32}

8 0
3 years ago
How many solutions does the equation 3x + 6 = -1 - 3 + 4x have?
VladimirAG [237]

Answer:Infinitely many​

Step-by-step explanation: so first u Simplify 3x + 6 = -1 - 3 + 4x to get 3x+6=4x−4

than u Subtract 3x from both sides to get 6=x−4.You add 6+4 to get 10 . which than u will have 10=x than u Switch sides to get x =10

7 0
3 years ago
Other questions:
  • Order each step and justification that is needed to dove the equation below. 2/3y+15=9
    5·1 answer
  • Explain how you would solve -5/8 divided by 2/3 and what the solution is?
    14·1 answer
  • Find the surface area.<br> I need a short explanation.
    12·1 answer
  • .<br> How are rotations represented as a function?
    9·1 answer
  • Hola, ayudenme a hacer esto por fa, doy muchos puntos u,u
    15·2 answers
  • Slope of (-2,-5) (-1,-6)​
    6·1 answer
  • Pls help guys I’m desperate and I need to go to bed
    6·1 answer
  • A block of cheese is in the shape of a rectangular prism. The block of cheese and its dimensions are shown below.
    7·2 answers
  • If the measure of ZBEC is (2x+3)° and x = 30, which expression could represent the measure of ZAED?
    5·1 answer
  • Ty flipped a coin and counted how many times it landed on heads and how many times it landed on
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!