Answer:
4/35 lottery is easier to win.
Step-by-step explanation:
For the 5/48 lottery, the winning probability is
≈0.1042
For the 4/35 lottery, the winning probability is
≈ 0.1143
Since
>
, the lottery where one chooses 4 of the numbers 1 through 35 is easier to win.
So to solve for x, you'll need to combine all the angles and equal it to 720, and from there we can solve.

Combine like terms to get

Subtract 470 on each side to get

Then just divide on each side and you'll get

To find the value of the (x+10) angle, just substitute 125 for x and solve.
Answer:
Step-by-step explanation:
The pdf of X is given by 3e^x(1-e^-2y). Please check the screenshot for the workings.
The pdf of Y is given by 6e^-2y. Please check the screenshot for the workings.
The expected time the device fails is the expected time Y fails, so we are going to find the expected time of Y which equals to 0.83.
Please check the screenshop for the workings. Thanks