The amount of time, in hours, that a computer functions before breakingdown is a continuous random variable with probability density functiongiven byfX(x) ={1100e−x/100x≥00x <0.What is the probability that1. a computer will function between 50 and 150 hours before breakingdown (3 pts)2. It will function less than 100 hours? (3 pts)3. It will function exactly 100 hours before breaking down? (3 pts)

Step-by-step explanation:

Given

Solving (a): Probability that it will function between 50 and 150 hr before it breaks down

This is represented as:

So, we have:

Integrate:

This gives:

Solving (a): Probability that it will function exactly 100 hr before it breaks down

This is represented as:

This can be rewritten as:

So, we have:

So, we have:

Integrate:

This gives:

Hence:

5 x 14?

im new, sorry if this is wrong.

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus