Probability Distribution For Single Spin X P(X) 4 0.125 3 0.125 2 0.25 1 0.5b b....
- Probability Distribution For Single Spin
|
X |
P(X) |
|
4 |
0.125 |
|
3 |
0.125 |
|
2 |
0.25 |
|
1 |
0.5b |
b. Calculate the theoretical probability of moving 10 or more spaces in 3 spins (i.e. obtaining the sum of the spins to be 10 or greater). Use your probability distribution in part (a) and note that spins are independent. (Hint: Recognize that getting a 1 on spin 1, a 2 on spin 2, and a 1 on spin 3 is a different result than getting a 1 on spin 1, a 1 on spin 2, and a 2 on spin 3.) Show how you obtained this probability and provide the answer.
Homework Answers
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Probability Distribution For Single Spin
X
P(X)
4
0.125
3
0.125
2
0.25
1
0.5b
b....
Space 1 2 3 4 Weight 0.375 0.25 0.25 0.125 Calculate the theoretical probability of moving...
Space
1
2
3
4
Weight
0.375
0.25
0.25
0.125
Calculate the theoretical probability of moving 4 or less spaces
in 3 spins (i.e. obtaining the sum of the spins to be 4 or less).
Use your probability distribution in table above and note that
spins are independent. (Hint: Recognize that getting a 1
on spin 1, a 2 on spin 2, and a 1 on spin 3 is a different result
than getting a 1 on spin 1, a...
space 1 2 1 3 1 2 4 3 P(space) 0.125 0.125 0.125 0.125 0.125 0.125...
space 1 2 1 3 1 2 4 3 P(space) 0.125 0.125 0.125 0.125 0.125 0.125 0.125 0.125 What is the theoretical probability of moving 4 or less spaces in 3 spins if each spin is independent?
Problem 1: Game Spinner We will be comparing empirical (relative frequencies based on an observation of...
Problem 1: Game Spinner We will be comparing empirical (relative frequencies based on an observation of a real-life process) to theoretical (long-run relative frequency) probabilities. We will use StatCrunch to simulate this process using a board game spinner three times so that we can determine the total number of spaces moved in three turns. The board game spinner looks like the image below. The spinner is equally likely to land on any given section. f) Calculate the theoretical probability of...
x P(x) 0 0.125 1 0.375 2 0.375 3 0.125 Use the following table to determine...
x P(x) 0 0.125 1 0.375 2 0.375 3 0.125 Use the following table to determine whether or not a probability distribution is given. If a probability is given, find its mean and standard deviation.
Determine whether the distribution is a discrete probability distribution. Oo 0.30 2 3 4 -0.10 0.30...
Determine whether the distribution is a discrete probability distribution. Oo 0.30 2 3 4 -0.10 0.30 0.25 Is the distribution a discrete probability distribution? Why? Choose the correct answer below. O A. Yes, because the distribution is symmetric. OB. No, because some of the probabilities have values greater than 1 or less than 0. OC. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive. O D. No, because the total probability is not equal...
Consider the probability distribution shown below. x 0 1 2 P(x) 0.25 0.70 0.05 Compute the...
Consider the probability distribution shown below. x 0 1 2 P(x) 0.25 0.70 0.05 Compute the expected value of the distribution. Compute the standard deviation of the distribution. (Round your answer to four decimal places.)
X 0 a P(x) 0.3 0.25 0.25 0.2 3 Find the standard deviation of this probability...
X 0 a P(x) 0.3 0.25 0.25 0.2 3 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places License
You are given the probability distribution below: x 0 1 2 3 4 p(x) 0.05 0.35...
You are given the probability distribution below: x 0 1 2 3 4 p(x) 0.05 0.35 0.25 0.20 0.15 Determine the standard deviation of X. Report your answer to three decimal places.
Consider the following discrete probability distribution. x P(x) 1 0.25 2 0.30 3 0.45 Calculate the...
Consider the following discrete probability distribution. x P(x) 1 0.25 2 0.30 3 0.45 Calculate the expected value, variance, and standard deviation of the random variable. Let y=x+5. Calculate the expected value, variance, and standard deviation of the new random variable. What is the effect of adding a constant to a random variable on the expected value, variance, and standard deviation? Let z=5x. Calculate the expected value, variance, and standard deviation of the new random variable. What is the effect...
3. Consider the joint probability distribution for Y and X. X/Y 2 4 6 1 0.2...
3. Consider the joint probability distribution for Y and X. X/Y 2 4 6 1 0.2 0.21 2 10 201 3 5.2 0 2 a) Calculate the marginal densities for both Y and X. b) Show using the conditional distribution for Y and the marginal distribution for Y, that X and Y are not independent. c) Calculate the E(Y|x = 1)and V(Y | x = 1).
Space
1
2
3
4
Weight
0.375
0.25
0.25
0.125
Calculate the theoretical probability of moving 4 or less spaces
in 3 spins (i.e. obtaining the sum of the spins to be 4 or less).
Use your probability distribution in table above and note that
spins are independent. (Hint: Recognize that getting a 1
on spin 1, a 2 on spin 2, and a 1 on spin 3 is a different result
than getting a 1 on spin 1, a...
Problem 1: Game Spinner We will be comparing empirical (relative frequencies based on an observation of a real-life process) to theoretical (long-run relative frequency) probabilities. We will use StatCrunch to simulate this process using a board game spinner three times so that we can determine the total number of spaces moved in three turns. The board game spinner looks like the image below. The spinner is equally likely to land on any given section. f) Calculate the theoretical probability of...
Determine whether the distribution is a discrete probability distribution. Oo 0.30 2 3 4 -0.10 0.30 0.25 Is the distribution a discrete probability distribution? Why? Choose the correct answer below. O A. Yes, because the distribution is symmetric. OB. No, because some of the probabilities have values greater than 1 or less than 0. OC. Yes, because the probabilities sum to 1 and are all between 0 and 1, inclusive. O D. No, because the total probability is not equal...
X 0 a P(x) 0.3 0.25 0.25 0.2 3 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places License
3. Consider the joint probability distribution for Y and X. X/Y 2 4 6 1 0.2 0.21 2 10 201 3 5.2 0 2 a) Calculate the marginal densities for both Y and X. b) Show using the conditional distribution for Y and the marginal distribution for Y, that X and Y are not independent. c) Calculate the E(Y|x = 1)and V(Y | x = 1).
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