The probability density function of x, the lifetime of a certain type of electronic device (measured in hours), is given by (a) (b) (c) ab (a + b)2(a + b + 1) ⎧ ⎪⎨ 1 0 x > 1 0 f(x) = ⎪x2 ⎩0 x 10 find p{x > 20}. what is the cumulative distribution function of x? what is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? what assumptions are you making?

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

0.32

step-by-step explanation:

2.24/7

a precentage of 6th graders. the population is all 6th graders. let me know if i'm wrong, i hope this ! : )

step-by-step explanation: