4. We want to test whether a die is fair. We roll it 300 times and...

Question

Question

4. We want to test whether a die is fair. We roll it 300 times and records the outcomes as meaning we rolled a 1 on the die 5

Answer 1

Answer #1

Answer: HO: The die is fair Date: 11/11/2019 HA: The die is not fair. Under the assumption of H0, the expected frequencies fo

Since the calculated value of X = 14.32 is greater than Table value of X = 11.070, HO is rejected. Conclusion: The die is not

6.5578 2 Since the calculated value of X = 6.5578 is less than Table value ofX = 11.070, HO is accepted. Conclusion: The data

Answer 2

Similar Homework Help Questions

we repeatedly roll a fair 8-sided die six times and suppse X is the number of...

we repeatedly roll a fair 8-sided die six times and suppse X is the number of different values rolled. Find E[x] and E[Y]
1) Suppose we have a fair 6 sided die and a coin. a) If we roll...

1) Suppose we have a fair 6 sided die and a coin. a) If we roll the die 4 times, the total number of possible outcomes is? b) If we roll the die 2 times then flip the coin 3 times, the total number of possible outcomes is? Show your calculations.
We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to...

We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to be 1, 2, 3, 4, 5, 6, 7, or 8.) (a) What is the probability that at least one of the rolls is a 3? (b) Let X be the number of different values rolled. For example, if the five rolls are 2, 3, 8, 8, 7, then X = 4 (since four different values were rolled: 2,3,7,8). Find E[X].

Example 5.5. We roll a fair die then toss a coin the number of times shown...

Example 5.5. We roll a fair die then toss a coin the number of times shown on the die. What is the probability of the event A that all coin tosses result in heads? One could use the state space Ω = {(1, H), (1, T), (2, H, H), (2, T, T), (2, T, H), (2, H, T), . . . }. However, the outcomes are then not all equally likely. Instead, we continue the state space is Ω {1,...
Suppose I asked you to roll a fair six-sided die 6 times. You have already rolled...

Suppose I asked you to roll a fair six-sided die 6 times. You have already rolled the die for 5 times and six has not appeared ones. Assuming die rolls are independent, what is the probability that you would get a six in the next roll? 1/6 1/2 5/6 0 1
Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled...

I know Pk~1/k^5/2 just need the work Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled, N2 be the number of 2's rolled, etc, so that NN2+Ns-n Since the dice rolls are independent then the random vector < N,, ,Ne > has a multinomial distribution, which you could look up in any probability textbook or on the web. If n 6k is a multiple of 6, let Pa be...

If we roll a red 6-sided die and a green 6-sided die (both are fair dice...

If we roll a red 6-sided die and a green 6-sided die (both are fair dice with the numbers 1-6 equally likely to be rolled), what is the probability that we get (i) A 5 on the green die AND a 3 on the red die? (ii) A 5 on the green die OR a 3 on the red die? (iii) A 5 on the green die GIVEN we rolled a 3 on the red die?
6. A fair six sided die is rolled three times. Find the probability that () all...

6. A fair six sided die is rolled three times. Find the probability that () all three rolls are either 5 or 6 (6) all three rolls are even (c) no rolls are 5 (d) at least one roll is 5 (e) the first roll is 3, the second roll is 5 and the third roll is even
Question 3 3 pts Matching problem [Choose] You roll a fair six-sided die 500 times and...

Question 3 3 pts Matching problem [Choose] You roll a fair six-sided die 500 times and observe a 3 on 90 of the 500 rolls. You estimate the probability of rolling a 3 to be 0.18 Choose) You roll a fair six-sided die 10 times and observe a 3 on all 10 rolls. You bet the probability of rolling a 3 on the next rollis close to O since you have already had 10 3's in a row You assign...

In a dice game, you roll a fair die three times, independently. If you don’t roll...

In a dice game, you roll a fair die three times, independently. If you don’t roll any sixes, you lose 1 dollar. If you roll a six exactly once, you win one dollar. If you roll a six exactly twice, you win two dollars. If you roll a six all three times, you win k dollars. (A) Let k = 3. What is the expected value of the amount you would win by playing this game (rounded to the nearest...