2. In the following distribution, P(X< 2) = 0.35, and expected value is 1.8 X 0...
ause t shift alt 1 ctri end 6. In the following distribution, P(X < 2) 0.35, and expected value is 1.8 2 3 4 1 2220.4 X 222 P(X) 0.15 a. Use the fact that P(X < 2) 0.35 to find the value of P(X 1) b. Use the fact that the total probability is equal to 1 to create a formula for P(X 3) in terms of P(X= 4) c. Use the fact that the expected value is 1.8...
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.
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...
Let X be a random variable with the following probability distribution: Value x of X P(X=x) 0.15 0.10 3 0.05 0.05 0.30 0.35 Find the expectation E (X) and variance Var (X) of X. (If necessary, consult a list of formulas.) E (x) = 0 x 6 ? var(x) -
What are the expected value and standard deviation of the following probability distribution? Random Variable X Probability 1 0.05 2 0.05 3 0.10 4 0.10 5 0.15 6 0.15 7 0.25 8 0.15
Engineering Statistics. Lab # 2 (chapter 3 Material) Using Minitab to Plot Frequency distribution and calculate Mean, Variance, and Standard Deviation of a general discrete random variable As we discussed in early part of chapter 3 material (Random Variables and Probability distributions), Minitab cannot help you solve general discrete probability problems we have discussed so far, It could be used to graph probability mass distribution and determine mean, Variance, ...of general random variable X when P(x) is given. Suppose you...
OX 1 P(x) 0.3 0.2 0.15 0.35 2 3 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places
a) Consider the following data on a variable that has Bernoulli distribution: X P (X) 0 0.3 1 0.7 Find the Expected value and the variance of X. And E(X)-X Px) b) Consider the following information for a binomial distribution: N number of trials or experiments 5 x- number of success 3 Probability of success p 0.4 and probability of failure 1-p 0.6 Find the probability of 3 successes out of 5 trials: Note P(x) Nox p* (1-p)Note: NcN!x! (N-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
Consider the probability distribution shown below. x 0 1 2 P(x) 0.05 0.80 0.15 Compute the expected value of the distribution. Compute the standard deviation of the distribution. (Round your answer to four decimal places.)