Answer:
The required sample size for the new study is 801.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
25% of all adults had used the Internet for such a purpose
This means that 
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
What is the required sample size for the new study?
This is n for which M = 0.03. So
Rounding up:
The required sample size for the new study is 801.
Answer:
(a)
The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.
(b)
The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2
(c)
Probability that no one or one person will be injured = P(X = 0) + P(X = 1)
= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1
= 0.810 + 10 * 0.2 * 0.89
= 0.3758096
(d)
Average value of X = np
Average value of X = 10 * 0.2 = 2
(e)
Variance of X = np(1-p)
Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6
(f)
Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45
Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1
= 9! / ((9-1)! 1!)
= 9
Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured
= 9 / 45
= 0.2
Answer:
Here we have:
g(x) = 2*√x
And we know that it is related to a parent function, where the parent functions are:
Linear Function: f(x)=x.
Quadratic Function: ݂f(x)=x^2.
Square Root function: f(x)= √x.
Absolute Value function: f(x)=|x|
Cubic function: f(x)=x^3.
Cube Root function: f(x) = ∛x
Logarithmic function: f(x)=log x or f(x)=In x.
Exponential function: f(x) = a^x.
a) Because g(x) = 2*√x
We can see that it is related to the square root function, then the parent function is:
f(x) = √x
b) now we want to write g(x) in terms of f(x)
we have:
g(x) = 2*√x
we can replace √x by f(x)
then we get:
g(x) = 2*f(x)
Now we have g(x) in terms of f(x)
