Use the relative frequency approach to develop the probability distribution of the random variable X. Fill in the p...
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...
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...
The following table gives the probability distribution for a random variable X. x P(x) 2 0.008 3 0.076 4 0.264 5 0.412 6 0.240 a) Find the mean of X. (decimal answer, rounded 1 decimal place) b) Find the standard deviation of X. (decimal answer, rounded 3 decimal places) c) Find the probability that X is 2 or 3. (decimal answer, rounded 3 decimal places) d) Find the probability that X is at least 4.(decimal answer, rounded 3 decimal places)...
Which of the following is/are required for the probability distribution of a discrete random variable X, with probabilities PlX = x) to be valid? 1. Os PCX=x)s 1 for all x 1. P(X=x) - 1 all ill. all x 20 I only Il only I and Il only ll, and I Il and ill only.
1. The probability distribution of a discrete random variable X is given by: P(X =-1) = 5, P(X = 0) = and P(X = 1) = ? (a) Compute E[X]. (b) Determine the probability distribution Y = X2 and use it to compute E[Y]. (c) Determine E[x2] using the change-of-variable formula. (You should match your an- swer in part (b). (d) Determine Var(X).
Below is the probability distribution for random variable x. What is the probability of at least a score of 2 in this distribution? X 1 2 3 P(x) 0.18 0.42 0.40 a. .82. b. .18. c. .42. d. .60.
Fill in the P(x=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -2,-1,0, 1, and 2. Value x of x P ( X = x) -2 0.26 0 0.26 1 2 0.14 X 5 ?
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
Let X be a random variable with the following probability distribution: Value x of X P( xx) 0.40 5 0.05 6 0.10 0.35 В 4 7 0.10 Find the expectation E(X) and variance Var (x) of X. (If necessary, consult a list of formulas.) х 5 2
Let x be a random variable with the following probability distribution Value x of x P(X=x -10 0.05 0 0.20 10 0.30 20 0.20 30 0.10 40 0.15 E (x)= Var (x)=