Question

Part 2: Weighted Dice Suppose thaIhave some weighted dice with the following probability distribution': Outcome 4 Probability 1/8 1/8 1/8 2/8 2/8 2/8 1) Is this a discrete or continuous probability distribution? What is wrong with it? 2) Here is a fixed version. Verify that it is a valid probability distribution. To do this, check that the first two probability rules apply Outcome 4 Probability 1/9 3) What is the probability of getting a sum of 9 when I roll two of these dice? You must show your work and explain your reasoning to receive full marks for this question. You might find the following sequence of steps helpful. If you have a different way to do this question that's fine too as long as you clearly explain all of your steps. a)Write out the sample space for rolling two dice b) Calculate the probability of each outcome. You should notice a pattern that means you don't need to calculate each outcome's probability individually (make sure you describe this pattern if you want to use it) c) nd what each outcome of the two dice sums to d) Find all the outcomes that sum to 9 and add their probabilities.

Part 2: Weighted Dice

Suppose that I have some weighted dice with the following ‘probability distribution’:

Outcome 1 2 3 4 5 6

Probability 1/8 1/8 1/8 2/8 2/8 2/8

1) Is this a discrete or continuous probability distribution? What is wrong with it?

2) Here is a fixed version. Verify that it is a valid probability distribution. To do this, check that the first two probability rules apply.

Outcome 1 2 3 4 5 6

Probability 1/9 1/9 1/9 2/9 2/9 2/9

3) What is the probability of getting a sum of 9 when I roll two of these dice? You must show your work and explain your reasoning to receive full marks for this question. You might find the following sequence of steps helpful. If you have a different way to do this question that’s fine too as long as you clearly explain all of your steps.

a) Write out the sample space for rolling two dice.

b) Calculate the probability of each outcome. You should notice a pattern that means you don’t need to calculate each outcome’s probability individually (make sure you describe this pattern if you want to use it).

c) Find what each outcome of the two dice sums to.

d) Find all the outcomes that sum to 9 and add their probabilities.

Answer 1

age No Date. Random es essinentis sin 1, i),(1, 2 ) :(i, s), (1,4),(125) (1,6-1 n(日) nss C p 9