A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution

Step-by-step explanation:

Given that there is a continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers

Since the pdf is rectangular in shape and total probability is one we can say all values in the interval would be equally likely

Say if the interval is (a,b) P(X) = p the same for all places

Since total probability is 1,

we get integral of P(X)=p(b-a) =1

Or p= $\frac{1}{b-a}$

this is nothing but a uniform distribution continuous defined in the interval

A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution

8 0

3 years ago

Which formula could be used to find the volume of a cube with side length equal to s?

aliina [53]

Answer:

s cubed

Step-by-step explanation:

bc volume is length times width times height so it would be s times s times s which is s cubed

6 0

3 years ago

Differential equations by separation of variables

MissTica

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

xdy/dx = 4y
xdy = 4ydx 
∫ dy/y =∫ 4dx/x 
ln(y) = 4ln(x) + C 
y = e^[4ln(x)] e^C 
y = e^[ln(x)^4] e^C 
y = Cx^4 answer

5 0

3 years ago