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let x be a discrete random variable with the probability distribution given the table below
Let X be a discrete random variable whose distribution is given by the table below. W, P(X=w 2 0.01 4 0.40 9 0.32 11 0.27 (the probability that X equals a number outside of the left column is zero) Calculate: 1. E(X) 2 Var(x) 3. PX <4)
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 B2 (a) The table below shows the discrete probability distribution of a random variable X: X P(X) 1 0. 2 7 18 W Tk 25 0.1 Suppose u = 12. Find the values of w and k. Hence, find the variance. (5 marks) (b) Suppose 15 students in a class are to be assigned randomly into 5 groups for group presentation. Each group contains 3 students. In how many different ways can these groups be formed? (3 marks) Suppose...
Cumulative distribution function The probability distribution of a discrete random variable X is given below: Value x of X P(x-x) 0.24 0.11 -2 0.26 0.11 Let Fx be the cumulative distribution function of X. Compute the following: X 5 ? 18+ (-2) - Px (-4) = 0
X is a discrete random variable with the probability distribution function shown in the table: x 0 1 2 3 Pr[X= x] .2 3 .4 a What is the value of a? O A..1 OB..5 Oc..9 O d. 1.0 O E. cannot be determined
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).
If the probability distribution for the random variable X is given in the table, what is the expected value of X? Xi -4 3 4 Pi 3 5 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
The following table denotes the probability distribution for a discrete random variable X. Use this information to answer questions 10-11. X .0 1 2 9 P(X) 0.1 0.2 0.2 0.5 10. Find the mean of X. 11. The standard deviation of X is closest to (a) 15.49 (b) 19:9 (c) 4,46 (d) 4.08 (e) 3.94
Compute the mean of the random variable with the given discrete probability distribution.