The probability density of a random variable X is given in the figure below. From this density, the probability that X is between 0.68 and 1.44 is:

Find the probability that X is between 0.68 and 1.44.

Using the uniform distribution, it is found that there is a 0.38 = 38% probability that X is between 0.68 and 1.44.

-----------------------

Uniform probability distribution:

In this problem:

The probability that X is between 0.68 and 1.44 is:

0.38 = 38% probability that X is between 0.68 and 1.44.

A similar problem is given at link

0.38

Step-by-step explanation:

The area under the probability density curve is equal to 1.

The width of the rectangle is 2, so the height of the rectangle must be ½.

The probability that X is between 0.68 and 1.44 is therefore:

P = ½ (1.44 − 0.68)

P = 0.38

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )