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1. Here is the probability distribution for a random variable x: Value of X Probability 0.4...
The random variable x has the discrete probability distribution shown here: x -2 -1 0 1...
The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 1) Find P(x<2) Please use up to 4 decimal places and use the proper uses of rounding. Excel can be a helpful calculator in these problems. 2) Find the expected value (mean) of this discrete random variable. Please use up to 4 decimal places and use the proper rules of rounding. Excel can be a helpful calculator...
The probability distribution of random variable X is given below. What is E[X]? X 4 2...
The probability distribution of random variable X is given below. What is E[X]? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable X is given below. What is σ2x? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable X is given below. Let Y = 4X − 5 be a new random variable. What is σ2y? X 4 2 6 P(x) 0.6 0.2 0.2 The probability distribution of random variable...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2...
Discrete Random Variable. The random variable x has the discrete probability distribution shown here: x -2 -1 0 1 2 p(x) 0.1 0.15 0.4 0.3 0.05 Find P(-1<=x<=1) Find P(x<2) Find the expected value (mean) of this discrete random variable. Find the variance of this discrete random variable
6. The distribution law of random variable X is given -0.4 -0.2 0 0.1 0.4 0.3...
6. The distribution law of random variable X is given -0.4 -0.2 0 0.1 0.4 0.3 0.2 0.6 Xi Pi Find the variance of random variable X. 7. Let X be a continuous random variable whose probability density function is: f(x)=Ice + ax, ifXE (0,1) if x ¢ (0:1) 0, Find 1) the coefficient a; 2) P(O.5 X<0.7); 3) P(X>3). Part 3. Statistics A sample of measurements is given Y 8 4 2 2 0 8. Compute the coefficient of...
1. [4 points] Consider a random variable X whose probability distribution function is given by 0.4...
1. [4 points] Consider a random variable X whose probability distribution function is given by 0.4 ifx=0 0.3 if3 0 elsewhere (I) find the value of k (2) find the mean of X (3) find the variance of X
3. The probability distribution of the discrete random variable X is f(x) = 2 x 1...
3. The probability distribution of the discrete random variable X is f(x) = 2 x 1 8 x 7 8 2−x , x = 0, 1, 2. Find the mean of X. 4. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: x 1 2 3 5 6 f(x) 0.03 0.37 0.2 0.25 0.15 (a) Find E(X). (b) Find E(X2 ). 5. Use the distribution from Problem 4. (a)...
In the probability distribution to the right, the random variable X represents the number of marriages...
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (0) below 0 0.278 10.573 3 0.027 4 0.004 5 0.001 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because theof the probabilities is (Type whole numbers. Use ascending order) (b) Draw a graph of the probability distribution Describe the shape of...
The random variable X has the probability distribution table shown below. Calculate the standard deviation of...
The random variable X has the probability distribution table shown below. Calculate the standard deviation of X. Show all work as to how you performed your calculations as if you did not have a calculator. (Rounded to two decimal place [6 points) [Hint: First, find E(X)] * 0136 P(X = x) 0.1 0.2 0.3 0.4
5 = b Let X be a random variable with the following probability distribution: Value x...
5 = b Let X be a random variable with the following probability distribution: Value x of X P(X=x) 30 0.35 40 0.30 0.05 0.15 0.15 Find the expectation E (x) and variance Var (x) of X. (If necessary, consult a list of formulas.) X 5 ? E (x) = 0 Var(x) = 0 Continue The workers' union at a certain university is quite strong. About 96% of all workers em workers went on strike, and now a local TV...
4. A mixed random variable X has the cumulative distribution function: (0. for x < 0.4...
4. A mixed random variable X has the cumulative distribution function: (0. for x < 0.4 X2 – 0.02 for 0.4 < x < 0.5 Fx(xx) = { 0.2.x3 + 0.6x + 0.25 for 0.5 < x < 0.7 for x > 0.7 (a) Calculate the mean and standard deviation of X. (b) Find P(0.44 < X < 0.62).
6. The distribution law of random variable X is given -0.4 -0.2 0 0.1 0.4 0.3 0.2 0.6 Xi Pi Find the variance of random variable X. 7. Let X be a continuous random variable whose probability density function is: f(x)=Ice + ax, ifXE (0,1) if x ¢ (0:1) 0, Find 1) the coefficient a; 2) P(O.5 X<0.7); 3) P(X>3). Part 3. Statistics A sample of measurements is given Y 8 4 2 2 0 8. Compute the coefficient of...
1. [4 points] Consider a random variable X whose probability distribution function is given by 0.4 ifx=0 0.3 if3 0 elsewhere (I) find the value of k (2) find the mean of X (3) find the variance of X
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (0) below 0 0.278 10.573 3 0.027 4 0.004 5 0.001 (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because theof the probabilities is (Type whole numbers. Use ascending order) (b) Draw a graph of the probability distribution Describe the shape of...
The random variable X has the probability distribution table shown below. Calculate the standard deviation of X. Show all work as to how you performed your calculations as if you did not have a calculator. (Rounded to two decimal place [6 points) [Hint: First, find E(X)] * 0136 P(X = x) 0.1 0.2 0.3 0.4
5 = b Let X be a random variable with the following probability distribution: Value x of X P(X=x) 30 0.35 40 0.30 0.05 0.15 0.15 Find the expectation E (x) and variance Var (x) of X. (If necessary, consult a list of formulas.) X 5 ? E (x) = 0 Var(x) = 0 Continue The workers' union at a certain university is quite strong. About 96% of all workers em workers went on strike, and now a local TV...
4. A mixed random variable X has the cumulative distribution function: (0. for x < 0.4 X2 – 0.02 for 0.4 < x < 0.5 Fx(xx) = { 0.2.x3 + 0.6x + 0.25 for 0.5 < x < 0.7 for x > 0.7 (a) Calculate the mean and standard deviation of X. (b) Find P(0.44 < X < 0.62).
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> how did you find the distribution of Z? thank you!
Vivian Wang Sat, Oct 30, 2021 5:40 PM