Measurements of scientific systems are always subject to variation, some more than others.
there are many structures for measurement error, and statisticians spend a great deal of time modeling these errors.
suppose the measurement error x of a certain physical quantity is decided by the density function
f(x)=k(3−x2), for −1≤x≤1,

f(x)=0, elsewhere.

(a) determine k that renders f(x) a valid density function.
(b) find the probability that a random error in measurement is less than 1/2.
(c) for this particular measurement, it is undesirable if the magnitude of the error (i. e., |x|)
exceeds 0.8. what is the probability that this occurs?

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

idk

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

answer: the correct answer is -32

step-by-step explanation: