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
MissTica
2 years ago
12

Sixty-eight percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adu

lts and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible. Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results.
Mathematics
1 answer:
Pavlova-9 [17]2 years ago
3 0

Answer:

Mean = 3.4

Variance = 1.088

Standard deviation = 1.0431

Step-by-step explanation:

P=0.68\\ \\N=5

The mean of a binomial distribution with parameters N (the number of trials) and p (the probability of success for each trial) is m=N\cdot p

Thus,

m=5\cdot 0.68=3.4

The variance of the binomial distribution is s^2=Np(1-p), where s^2​​ is the variance of the binomial distribution, so

s^2=5\cdot 0.68\cdot (1-0.68)=3.4\cdot 0.32=1.088

The standard deviation s is the square root of the variance s^2, so

s=\sqrt{1.088}\approx 1.0431

You might be interested in
A room has an area of 60 square meters and a perimeter of 32 meters. What are the length and width of the room?
SOVA2 [1]
6 and 10 because 6 times 10 is 60 and 6 plus 6 plus 20 plus 10 is 32
4 0
3 years ago
Read 2 more answers
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home. Give the value of th
astra-53 [7]

Answer:

The value of the standard error for the point estimate is of 0.0392.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.

This means that n = 100, p = \frac{81}{100} = 0.81

Give the value of the standard error for the point estimate.

This is s. So

s = \sqrt{\frac{0.81*0.19}{100}} = 0.0392

The value of the standard error for the point estimate is of 0.0392.

7 0
2 years ago
Which graph shows a function with a range of all real numbers greater than or equal to –1?
Brums [2.3K]

Answer:

The 3rd Graph

Step-by-step explanation:

This is tricky because the angle shown isn't refering to what is inside of it but what is not inside of it.

6 0
2 years ago
Read 2 more answers
Solve the proportion<br>16/6 = 3s/9
iris [78.8K]

Answer:

8

Step-by-step explanation:

So you can start by simplifying each fraction:

16/6 divide by 2/2 = 8/3

3s/9 divided by 3/3 = s/3

Then, since 8/3 = s/3 you just have s = 8.

4 0
2 years ago
Please help! Picture included!!!
V125BC [204]
The answer is c)32 hope this helps



5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the median house price?
    5·1 answer
  • Having a hard time understanding this question (see attachment).
    5·2 answers
  • Ming plays video games online. When he signed up with the game site, Ming got 200200 points. Ming earns 2020 more points for eac
    13·1 answer
  • Consider the equation 1.5x + 4.5y = 18.
    15·1 answer
  • Set up a proportion table. for: At a hardware store, the price of 3 feet of rope is $1.20. What is the price of 8 feet of rope?
    8·2 answers
  • Do anybody know this ???
    6·1 answer
  • Which expressions are equivalent. <br><br>PLEASE HELP ME !!! (photo given) ​
    8·2 answers
  • What is the equation of the line whose y-intercept is 3 and slope is 1?
    8·1 answer
  • Anyone help!!! plss!!!
    5·1 answer
  • Coach Sandberg wants to order 115 jackets and 27 cabs for $12 each
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!