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Difficulty starting degree level questions watch

1. Hi,
I've recently been given these questions on a worksheet, but I've been stumped at this one. Anyone got any pointers as to how I should go about starting it? Thanks muchly in advance
2. (Original post by thomoski2)
Hi,
I've recently been given these questions on a worksheet, but I've been stumped at this one. Anyone got any pointers as to how I should go about starting it? Thanks muchly in advance
You should know that adding up all the possible probabilities must output the total probability of 1.

This means that for a probability distribution you must have .

Applying this to your question, since is a piecewise function, you need to split the integral into 3 different ones over the regions , , and . However, note that for the first and third interval therefore those integrals will just be 0 and hence you simply need say that
3. (Original post by RDKGames)
You should know that adding up all the possible probabilities must output the total probability of 1.

This means that for a probability distribution you must have .

Applying this to your question, since is a piecewise function, you need to split the integral into 3 different ones over the regions , , and . However, note that for the first and third interval therefore those integrals will just be 0 and hence you simply need say that
What about (b) and (c), I’m kinda hitting a blank with those two
4. (Original post by thomoski2)
What about (b) and (c), I’m kinda hitting a blank with those two
5. (Original post by RDKGames)
You should know that adding up all the possible probabilities must output the total probability of 1.

This means that for a probability distribution you must have .

Applying this to your question, since is a piecewise function, you need to split the integral into 3 different ones over the regions , , and . However, note that for the first and third interval therefore those integrals will just be 0 and hence you simply need say that
You also need the function to be non-negative.
6. (Original post by Zacken)
Awesome, that’s a huge help with c, what about b?
7. (Original post by thomoski2)
Awesome, that’s a huge help with c, what about b?
The quickest 10% of the students will be those who complete the test within a certain amount of time after it starts, which you got to show is , such that

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