1. Given the discrete probability distribution for x = 1, 2, 3, 4, or 5. X...
1. Given the discrete probability distribution for x = 1,2,3,4, or 5. X P(x) 1 5/15 2 4/15 3 3/15 4 2/15 5 1/15 Find the Expected Value (mean)of a discrete probability distribution.
The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is f(x) = 1/6 for x = 1, 2, 3, 4, 5, 6. What is the mean of the distribution of X? The probability density function for a random variable X with a discrete uniform distribution over the integers 1, 2, 3, 4, 5, and 6 is f(x) = 1/6 for x = 1, 2, 3, 4, 5,...
3. The probability distribution of the discrete random variable X is f(x) = 2 x 1 8 x 7 8 2−x , x = 0, 1, 2. Find the mean of X. 4. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: x 1 2 3 5 6 f(x) 0.03 0.37 0.2 0.25 0.15 (a) Find E(X). (b) Find E(X2 ). 5. Use the distribution from Problem 4. (a)...
For a discrete random variables X, the probability distribution is given by Find the mean a. Find the standard deviation σ b. c. Find (3)
Examination in probability theory and statistics Variant 9 1. Discrete distribution for X is given by the following table: Probability p ValueX Find distribution function fa) and median Me(0). Calculate mathematical expectation (the mean) M(x), 0.3 -10 0.4 10 0.2 20 0.1 40 variance (dispersion) Da, standard error ơ(X), asymmetry coefficient As(X) and excess Ex(X). 2. Calculate multiplier k. Find mode Mots, median Me(o), mathematical expectation (the mean) Mc) variance (dispersion) D(x) and standard error σ(x) for continuous distributions having...
Consider the following discrete probability distribution. x P(x) 1 0.25 2 0.30 3 0.45 Calculate the expected value, variance, and standard deviation of the random variable. Let y=x+5. Calculate the expected value, variance, and standard deviation of the new random variable. What is the effect of adding a constant to a random variable on the expected value, variance, and standard deviation? Let z=5x. Calculate the expected value, variance, and standard deviation of the new random variable. What is the effect...
Determine whether the distribution is a probability distribution. x 0 1 2 3 4 5 P(x) three fourths one fifth StartFraction 1 Over 50 EndFraction one half StartFraction 1 Over 100 EndFraction one tenth Is the probability distribution a discrete distribution? Why? Choose the correct answer below.
Discrete probability problems 0.2 pts Question 12 The table below is a discrete probability distribution in which x represents the number of tudents that a statistics tutor may see on any given day and Pix) represents the probability that the tutor sees that number of students. P(x) О.11 0.18 e.36 e.16 e.14 e.es What is the mean of this discrete probability distribution? (Round to the nearest hundredth.) Question 13 0.2 pts The table below is a discrete probability distribution in...
QUESTION 8 Find the standard deviation of the following discrete probability distribution. Round off to three decimal places. A = 0.45 X P(x) 0 A 10.4 21-A QUESTION 8 Find the standard deviation of the following discrete probability distribution. Round off to three decimal places. A = 0.45 X P(x) 0 A 0.4 2 1-A 1
taiation in probability theory and statistics Variant 13 1. Discrete distribution for X is given by the following table: Probability p Value X 0.2 -10 0.3 10 0.4 30 0.1 50 Find distribution function fa) and median Me@. Calculate mathematical expectation (the mean) Mx), variance (dispersion) DA), standard error σ(X), asymmetry coefficient As(X) and excess Ex(X)