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
Sveta_85 [38]
3 years ago
8

Approximately 20% of U.S. workers are afraid that they will never be able to retire. Suppose 10 workers are randomly selected. W

hat is the probability that none of the workers is afraid that they will never be able to retire
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
7 0

Answer:

10.74% probability that none of the workers is afraid that they will never be able to retire

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are afraid that they are never going to be able to retire, or they are not. The probability of a worker being afraid that they are never going to be able to retire is independent of other workers. So we use the binomial probability distribution 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.

20% of U.S. workers are afraid that they will never be able to retire.

This means that p = 0.2

10 workers

This means that n = 10

What is the probability that none of the workers is afraid that they will never be able to retire

This is P(X = 0).

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

P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074

10.74% probability that none of the workers is afraid that they will never be able to retire

You might be interested in
2. How can Diego package all the 64 cookies so that each bag has the same number of them? How many bags can he make, and how man
Readme [11.4K]
Divide 64 by multiple numbers, and if they divide evenly that’s how many will be in each bag for the number of bags (number you divided by). For example, dividing 64 by 8 (bags) would be 8 cookies in each bag. You can do this with multiple numbers as long as it goes in evenly
7 0
3 years ago
A translation moves point V(–2, 3) to v'(-2, 7). Which are true statements about the translation? Check all that apply.
jeka94
The answer is B) The transformation rule is (x, y) -> (x + 0, y + 4).
7 0
3 years ago
Read 2 more answers
PLEASE HELP!! I WILL AWARD BRAINLIEST AND 50 POINTS!!!!!!!!!!!!!!!!!!!!!! For the given picture: a) List all of the triangles th
PIT_PIT [208]

Answer:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters.  If your teacher just wants one, it would be the middle one.  (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB.  For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD.  For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO.  For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB.  For OBF, it’s BOC and OCB

Step-by-step explanation:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters.  If your teacher just wants one, it would be the middle one.  (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB.  For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD.  For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO.  For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB.  For OBF, it’s BOC and OCB

6 0
3 years ago
How to find slope y=3x+5
klemol [59]

This equation is in slope-intercept form; y = mx+b.

m is the slope and b is the y-intercept, so to find the slope you'd look at the coefficient of x.

In this equation, y = 3x+5, the coefficient of x is 3, so that means that the slope of this equation is 3.

Answer is:

3 is the slope

3 0
3 years ago
Which set of ordered pairs does not represent a function?
ziro4ka [17]

Answer:

The second choices is the answer

{(-6,6), (8, 2), (8, -1), (3,3)} as you can see there's a repeating value of x or the Domain which is the 8.

6 0
3 years ago
Other questions:
  • Write the equation of a line that has a slope 1/3 and y-intercept 4.
    13·1 answer
  • List the factors of 15. list the multiples through 15 of each number
    11·2 answers
  • Input Output Table 5
    7·2 answers
  • A department store wraps gifts for its customers. What is the amount of wrapping paper it would take to wrap a gift box with a w
    13·1 answer
  • Can you help me please.​
    5·1 answer
  • A farmer sells 6.9 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. Ho
    11·1 answer
  • Which of the following graphs represents the set of numbers given below?
    10·2 answers
  • Please only answer this with actual answers and ill give the award
    5·1 answer
  • (03.05 MC)
    8·1 answer
  • A store is giving a $10 coupon th every 7tgh person, and a $25 coupon to every 18th person, Which person will be the first to ge
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!