Suppose N is a discrete random variable defined by probability distribution:
n |
Pr(N = n) |
10 |
.1 |
20 |
.3 |
30 |
.2 |
40 |
.4 |
Find Pr(12 < N < 37).
Graph the cumulative distribution function FN (n) = Pr(N ≤ n).
Suppose N is a discrete random variable defined by probability distribution: n Pr(N = n) 10...
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
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
Suppose that a random variable X has a discrete distribution with the following probability mass function: Find the value of the constant C.
[Q#2] (7pts) Suppose a discrete random variable Y has a Geometric probability distribution with probability of success p (>0). Its p.d.f. p(y) is defined as P(Y = y) = p(y) = p (1-p)y-1 for y = 1,2,3, ... Verify that the sum of probabilities when the values of random variable Y are even integers only is 1-p. That is to find p(2) + p(4) +p(6) +.. 2 – p
A discrete random variable X is defined by the following probability distribution X 2 7 9 10 P ( X = x ) 0.08 0.12 0.38 0.42 Find the following : μ = E ( X ) E(X^2) . E ( 2X + 3 ) E ( 4X − 8 ) σ ^2 = Var ( X ) σ = SD ( X )
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
Suppose a discrete random variable X has the following probability distribution () 0.1 0.1 0.2 0.6 Find the CDF of X and write it as a piecewise function.
A discrete random variable X has a cumulative distribution function defined by F(x) (x+k) for x = 0,1,2 Then the value of k is 16
. Suppose a discrete random variable has probability distribution P(x) = .2 if x = 0 p1 if x = 1 p2 if x = 2 a) If the mean of X = 1.3, find the variance of X.
he cumulative distribution function (cdf), F(z), of a discrete ran- om variable X with pmf f(x) is defined by F(x) P(X < x). Example: Suppose the random variable X has the following probability distribution: 123 45 fx 0.3 0.15 0.05 0.2 0.3 Find the cdf for this random variable