Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees
1 answer:
Answer:
The probability the event that none of them are obese is 0.0352.
Step-by-step explanation:
<h3>Binomial distribution:</h3>A discrete random variable X having to the set {0,1,2,3....,n} as the spectrum, is said to have binomial distribution with parameters n= the number of trial, and p= probability of successes on an individual trial , if the p.m.f of X is given by,
for x=0,1,2,...,n
=0 elsewhere.
where 0<p<1 and n an positive integer,
Given that,
The probability of the event that a child living in an urban area in the united state is obese is 20%.
n=Number of children = 15, p= 20%= 0.20.
The probability the event that none of them are obese is
=P(X=0)
=0.0352
You might be interested in
The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is
and
We have given that,
f(x) = 2x^2 + x + 4
x g(x)
-2 1
-1 3
0 5
1 7
2 9
<h3>What is a polynomial function?</h3>A polynomial function is a relation where a dependent variable is equal to a polynomial expression.
A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.
The general form of a polynomial expression is:
a₀ + a₁x + a₂x² + a₃x³ + ... + anxⁿ.
The highest power to a variable is the degree of the polynomial expression. When degree = 2, the function is a quadratic function.
When degree = 1, the function is a linear function.
<h3>How do we solve the given question?</h3>
The quadratic function is given to us:f(x) = 2x^2 + x + 4.
We need to determine the linear equation g(x).
Since it's a linear equation we use the two-point method to determine the equation.
<h3>What is the two-point?</h3>y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)
We take the points g(-2) =1, g(-1) = 3
g(x) - g(1) = ((g(-2)-g(-1))/(-2+1))*(x-1)or,
g(x) - 1 = ((-2-(-1))/(-2+1))*(x-1)or, g(x) - 1 = -1(-x+1)or,
g(x) = x - 1 + 1 = x
∴ g(x) = x , is the linear function g(x)
We are asked to find the solution to the system of equations f(x) and g(x).To find the solution we need to check what is the common solution to both f(x) and g(x).
For that, we equate f(x) and g(x).2x^2 + x + 4 = x or, 2x² - x +x- 4 = 0or, 2x^2 - 4 = 02(x^2-2)=0x^2-2=0g(-1) = 3(from the table)
The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is and
Learn more about linear and quadratic equations at
#SPJ1
Answer:
<h2>x = 3</h2>Step-by-step explanation: