The probability distribution of a discrete random variable X is given below. Value x of X P(X=x) -1 0.26 0.18 1 0.15 0.29 3 0.12 Let Fy be the cumulative distribution function of X. Compute the following. (a) F (0) = 0.44 ? %3D (b) F (1) - F (-1) = 0.18 %3D
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- Let X be a random variable with the following probability distribution. Value x of X P(X=x) 0 0.25 10 0.20 20 0.10 30 0.35 40 0.10 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X . E(X)= (b) Find the variance Var (X)of X. Var (X)=Let X be a random variable with the following probability distribution.statistic discrete rondom variable
- Let X be a random variable with the following probability distribution. Value X of X P(X=x) 30 Continue 40 50 60 70 80 0.15 0.25 0.20 0.10 0.15 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = (b) Find the variance Var(X) of X. Var(x) = 0 O SLet X be a random variable with the following probability distribution. Value x of X P(X=x) 10 20 30 40 50 0.10 0.30 0.20 0.25 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) =The cumulative distribution function F(x) of a random variable X is given in the following table: 1 2 3 F(x) 0.5 b 1 a Let a and b are positive constants. If P(1 3) = 0.3. Then a and b equal to: a=0.1, b=0.3 None of these a=0.1, b=0.7 a=0.5, b=0.8
- Exercise(3): If the mean and variance of a binomial distribution are 9 and 6 respectively, then find: (1) The probability mass function P(x = k) (2) P(x=3) (3) P(x>1)Let X be a random variable with the following probability distribution. Value x of X P(X=x) 2 0.05 3 0.05 4 0.05 5 0.85 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E(X) of X. E (X) = 0 (b) Find the variance Var(X) of X. Var(x) = ☐ Check B X GLet X be a discrete random variable with the following cumulative.distribution function 0. x <0 0.2 0Sx<1 15x<3 3The probability distribution of a discrete random variable x is given below. Value x of X P(X=x) -3 0.18 -2 0.20 -1 0.18 0.21 1 0.23 Let Fy be the cumulative distribution function of x. Compute the following. (a) F,(0) = ] ? (b) F, (1) - F,(-3) - O 14 (c) FThe probability distribution function of a random variable X is 4. P(X =x)=Dk for x=0,1, 2,3,4 where k is a constant. Determine (a) the value of k. Hence, find P(0Let X be a random variable with the following probability distribution.Calculate the following Find the expectation E (X) of XE (X) =? Find the variance Var (X) of X.Var (X) =?SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON