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
Rina8888 [55]
3 years ago
14

A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele

cted, what is the probability that exactly 3 people in the sample are afraid of being alone at night.
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. 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.

5% of Americans are afraid of being alone in a house at night.

This means that p = 0.05

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

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

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

You might be interested in
11 chocolate bars cost 10 dollars
inna [77]

I'm not sure what you're trying to ask, but if you're trying to find the individual cost;

Solution: Cost of 1 candy bar is $0.91

Explanation: The quotient of 10 and 11 is 0.90909090909, which rounds into 0.91

Hope This Helps!!!

-Austint1414

3 0
3 years ago
An operator in the plant has a monthly salary of $2575. Thirty-three percent (33%) of her salary is deducted for income tax.
katovenus [111]
2575X.33=849.75

2575-849.75=1,725.25
6 0
3 years ago
WHAT IS 3847 TIMES 4387 AND PLAESE ROUND!!!!!<br> ---------<br> 82364
Andrew [12]

Answer:

16,876,789. 82364 ≈ 82,000

Step-by-step explanation:

Let's go through this Step by Step.

3847 * 4387 =\\3847 * 7 = 26929\\3847 * 80 = 307,760\\3847 * 300 = 1,154,100\\3847 * 4000 = 15,388,000

Now let's go through the Addition.

26929 + 307,760 = 334,689\\334,689 + 1,154,100 = 1,484,789\\1,484,789 + 15,388,000 = 16,872,789

Now, we round 82364 to the nearest thousand.

The nearest thousand is 2000. so the answer to this one would be 82000.

hope this helps.

6 0
3 years ago
Read 2 more answers
Find the total cost. purchase price = $2615; tax rate = 3%
Lisa [10]
$2693.45 

hope it helps


6 0
3 years ago
Luis is saving money to purchase a new video game. He has a total of 30 coins consisting of nickels and dimes. The value of the
scoundrel [369]
A) N + D = 30
B) .05N + .1D = 2.20

Multiplying equation A by -.05
A) -.05N  -.05D = -1.50 then adding it to B
B) .05N + .1D = 2.20
.05D = .70
Dimes = 14

Nickels = 30 -14 = 16

4 0
3 years ago
Read 2 more answers
Other questions:
  • Add
    12·1 answer
  • Evaluate.<br> 4+(5-3)5+7
    14·1 answer
  • Please help out asap! AWARDING 30 POINTS IF YOU TELL ME THE CORRECT ANSWER!
    15·1 answer
  • Find an exact value cos 75°
    7·2 answers
  • Solve by addition5x-2y=32x 7y=9
    8·1 answer
  • The product of three binomials, just like the product of two, can be found with repeated applications of the distributive proper
    9·1 answer
  • Please help ASAP I’m very unsure on how to do these 2 questions please give answers for both :)
    14·2 answers
  • Ten times the square of a non-zero number is equal to sixty times the number.
    8·2 answers
  • What must be true regarding the distribution of the​ population? A. The population must be normally distributed and the sample s
    6·1 answer
  • -3(x - 2) - (2x - 3) = 5 - (4x - 2)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!