Answer:
y = - 2x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
Calculate m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1)
m = = - 2
note the line passes through (0, 3) ⇒ c = 3
y = - 2x + 3 ← equation in slope-intercept form
Answer:
a) The value of A = 2
b) The value of
Step-by-step explanation:
a)
Given that:
X should be the random variable that assumes only positive integer values.
The probability function; for some constant A and n ≥ 1.
Then, let
This implies that:
A = 2
Thus, the value of A = 2
b)
Suppose X represents a e constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3
Then, the density function of x is:
where; B is constant.
Then, using the property of the probability density function:
Taking the integral, we have:
B [ 9 +3 ] = 1
B [ 12 ] = 1
Divide both sides by 12