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2. Consider a discrete random variable X with mean u = 4.9 and probability distribution function...
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
Question 1. A Discrete Distribution - PME Verify that p(x) is a probability mass function (pmf)...
Question 1. A Discrete Distribution - PME Verify that p(x) is a probability mass function (pmf) and calculate the following for a random variable X with this pmf 1.25 1.5 | 1.7522.45 p(x) 0.25 0.35 0.1 0.150.15 (a) P(X S 2) (b) P(X 1.65) (c) P(X = 1.5) (d) P(X<1.3 or X 221) e) The mean (f) The variance. (g) Sketch the cumulative distribution function (edf). Note that it exhibits jumps and is a right continuous function.
using excel answer the problem below Let X be a discrete random variable having following probability...
using excel answer the problem below
Let X be a discrete random variable having following probability distribution. x 2 4 6 8 P(x) 0.2 0.35 0.3 0.15 Complete the following table and compute mean and variance for X x P(x) x· P(x) x2. P(x) 2 0.2 4 0.35 6 0.3 8 0.15 Total 1 Expected value E(X) = u = Variance Var = o2 =
Consider a discrete random variable X with the probability mass function p X ( x )...
Consider a discrete random variable X with the probability mass function p X ( x ) = x/C , x = 3, 4, 5, 6, 7, zero elsewhere. consider Y = g( X ) = 100/(x^2+1) . b) Find the probability distribution of Y.
The table below shows the probability distribution of a discrete random variable X. Values of the...
The table below shows the probability distribution of a discrete random variable X. Values of the random variable X (x) Probability of observing each value of X P(X = x) 6 0.20 7 0.25 8 0.25 9 0.10 10 0.12 11 0.08 Total 1.00 (a) Determine the probability that the random variable X is between 8 and 10, inclusive. (1 mark (b) Determine the probability that the random variable X is at least 9. (1 mark) c. Determine the probability...
** Question 1: Consider the following discrete probability distribution. The mean of this random variable is...
** Question 1: Consider the following discrete probability distribution. The mean of this random variable is 3.75. x 0 1 2 5 P(X=x) 0.10 0.70 a) Find the missing values for P(X=1) and P(X=2) Hint: you will need to use two equations here, and substitution. This should be familiar from high school mathematics. The two equations you will need are for the mean of a discrete random variable and that the sum of all the probabilities equals 1. - please...
Given the following discrete probability distribution, calculate the variance of the random variable X. Round your...
Given the following discrete probability distribution, calculate the variance of the random variable X. Round your answer to 2 significant places after the decimal. x P(x) -1 0.29 2 0.35 4 0.08 6 0.28
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X =...
2.1 Let X be a discrete random variable with the following probability distribution Xi 0 2 4 6 7 P(X = xi) 0.15 0.2 0.1 0.25 0.3 a) find P(X = 2 given that X < 5) b) if Y = (2 - X)2 , i. Construct the probability distribution of Y. ii. Find the expected value of Y iii. Find the variance of Y
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)...
5. Let X be a discrete random variable. The following table shows its possible values r...
5. Let X be a discrete random variable. The following table shows its possible values r and the associated probabilities P(X -f(x) 013 (a) Verify that f(x) is a probability mass function (b) Calculate P(X < 1), P(X < 1), and P(X < 0.5 or X > 2). (c) Find the cumulative distribution function of X ompute the mean and the variance of
Question 1. A Discrete Distribution - PME Verify that p(x) is a probability mass function (pmf) and calculate the following for a random variable X with this pmf 1.25 1.5 | 1.7522.45 p(x) 0.25 0.35 0.1 0.150.15 (a) P(X S 2) (b) P(X 1.65) (c) P(X = 1.5) (d) P(X<1.3 or X 221) e) The mean (f) The variance. (g) Sketch the cumulative distribution function (edf). Note that it exhibits jumps and is a right continuous function.
using excel answer the problem below
Let X be a discrete random variable having following probability distribution. x 2 4 6 8 P(x) 0.2 0.35 0.3 0.15 Complete the following table and compute mean and variance for X x P(x) x· P(x) x2. P(x) 2 0.2 4 0.35 6 0.3 8 0.15 Total 1 Expected value E(X) = u = Variance Var = o2 =
5. Let X be a discrete random variable. The following table shows its possible values r and the associated probabilities P(X -f(x) 013 (a) Verify that f(x) is a probability mass function (b) Calculate P(X < 1), P(X < 1), and P(X < 0.5 or X > 2). (c) Find the cumulative distribution function of X ompute the mean and the variance of
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